Quantum Field Theory in a Nutshell

Quantum Field Theory in a Nutshell

Author: A. Zee

Publisher: Princeton University Press

Published: 2010-02-01

Total Pages: 608

ISBN-13: 1400835321

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A fully updated edition of the classic text by acclaimed physicist A. Zee Since it was first published, Quantum Field Theory in a Nutshell has quickly established itself as the most accessible and comprehensive introduction to this profound and deeply fascinating area of theoretical physics. Now in this fully revised and expanded edition, A. Zee covers the latest advances while providing a solid conceptual foundation for students to build on, making this the most up-to-date and modern textbook on quantum field theory available. This expanded edition features several additional chapters, as well as an entirely new section describing recent developments in quantum field theory such as gravitational waves, the helicity spinor formalism, on-shell gluon scattering, recursion relations for amplitudes with complex momenta, and the hidden connection between Yang-Mills theory and Einstein gravity. Zee also provides added exercises, explanations, and examples, as well as detailed appendices, solutions to selected exercises, and suggestions for further reading. The most accessible and comprehensive introductory textbook available Features a fully revised, updated, and expanded text Covers the latest exciting advances in the field Includes new exercises Offers a one-of-a-kind resource for students and researchers Leading universities that have adopted this book include: Arizona State University Boston University Brandeis University Brown University California Institute of Technology Carnegie Mellon College of William & Mary Cornell Harvard University Massachusetts Institute of Technology Northwestern University Ohio State University Princeton University Purdue University - Main Campus Rensselaer Polytechnic Institute Rutgers University - New Brunswick Stanford University University of California - Berkeley University of Central Florida University of Chicago University of Michigan University of Montreal University of Notre Dame Vanderbilt University Virginia Tech University


Book Synopsis Quantum Field Theory in a Nutshell by : A. Zee

Download or read book Quantum Field Theory in a Nutshell written by A. Zee and published by Princeton University Press. This book was released on 2010-02-01 with total page 608 pages. Available in PDF, EPUB and Kindle. Book excerpt: A fully updated edition of the classic text by acclaimed physicist A. Zee Since it was first published, Quantum Field Theory in a Nutshell has quickly established itself as the most accessible and comprehensive introduction to this profound and deeply fascinating area of theoretical physics. Now in this fully revised and expanded edition, A. Zee covers the latest advances while providing a solid conceptual foundation for students to build on, making this the most up-to-date and modern textbook on quantum field theory available. This expanded edition features several additional chapters, as well as an entirely new section describing recent developments in quantum field theory such as gravitational waves, the helicity spinor formalism, on-shell gluon scattering, recursion relations for amplitudes with complex momenta, and the hidden connection between Yang-Mills theory and Einstein gravity. Zee also provides added exercises, explanations, and examples, as well as detailed appendices, solutions to selected exercises, and suggestions for further reading. The most accessible and comprehensive introductory textbook available Features a fully revised, updated, and expanded text Covers the latest exciting advances in the field Includes new exercises Offers a one-of-a-kind resource for students and researchers Leading universities that have adopted this book include: Arizona State University Boston University Brandeis University Brown University California Institute of Technology Carnegie Mellon College of William & Mary Cornell Harvard University Massachusetts Institute of Technology Northwestern University Ohio State University Princeton University Purdue University - Main Campus Rensselaer Polytechnic Institute Rutgers University - New Brunswick Stanford University University of California - Berkeley University of Central Florida University of Chicago University of Michigan University of Montreal University of Notre Dame Vanderbilt University Virginia Tech University


Theory of Interacting Quantum Fields

Theory of Interacting Quantum Fields

Author: Alexei L. Rebenko

Publisher: Walter de Gruyter

Published: 2012-07-04

Total Pages: 588

ISBN-13: 3110250632

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This monograph is devoted to the systematic presentation of foundations of the quantum field theory. Unlike numerous monographs devoted to this topic, a wide range of problems covered in this book are accompanied by their sufficiently clear interpretations and applications. An important significant feature of this monograph is the desire of the author to present mathematical problems of the quantum field theory with regard to new methods of the constructive and Euclidean field theory that appeared in the last thirty years of the 20th century and are based on the rigorous mathematical apparatus of functional analysis, the theory of operators, and the theory of generalized functions. The monograph is useful for students, post-graduate students, and young scientists who desire to understand not only the formality of construction of the quantum field theory but also its essence and connection with the classical mechanics, relativistic classical field theory, quantum mechanics, group theory, and the theory of path integral formalism.


Book Synopsis Theory of Interacting Quantum Fields by : Alexei L. Rebenko

Download or read book Theory of Interacting Quantum Fields written by Alexei L. Rebenko and published by Walter de Gruyter. This book was released on 2012-07-04 with total page 588 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph is devoted to the systematic presentation of foundations of the quantum field theory. Unlike numerous monographs devoted to this topic, a wide range of problems covered in this book are accompanied by their sufficiently clear interpretations and applications. An important significant feature of this monograph is the desire of the author to present mathematical problems of the quantum field theory with regard to new methods of the constructive and Euclidean field theory that appeared in the last thirty years of the 20th century and are based on the rigorous mathematical apparatus of functional analysis, the theory of operators, and the theory of generalized functions. The monograph is useful for students, post-graduate students, and young scientists who desire to understand not only the formality of construction of the quantum field theory but also its essence and connection with the classical mechanics, relativistic classical field theory, quantum mechanics, group theory, and the theory of path integral formalism.


What Is a Quantum Field Theory?

What Is a Quantum Field Theory?

Author: Michel Talagrand

Publisher: Cambridge University Press

Published: 2022-03-17

Total Pages: 759

ISBN-13: 1316510271

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A lively and erudite introduction for readers with a background in undergraduate mathematics but no previous knowledge of physics.


Book Synopsis What Is a Quantum Field Theory? by : Michel Talagrand

Download or read book What Is a Quantum Field Theory? written by Michel Talagrand and published by Cambridge University Press. This book was released on 2022-03-17 with total page 759 pages. Available in PDF, EPUB and Kindle. Book excerpt: A lively and erudite introduction for readers with a background in undergraduate mathematics but no previous knowledge of physics.


Quantum Field Theory

Quantum Field Theory

Author: Mark Srednicki

Publisher: Cambridge University Press

Published: 2007-01-25

Total Pages: 664

ISBN-13: 1139462768

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Quantum field theory is the basic mathematical framework that is used to describe elementary particles. This textbook provides a complete and essential introduction to the subject. Assuming only an undergraduate knowledge of quantum mechanics and special relativity, this book is ideal for graduate students beginning the study of elementary particles. The step-by-step presentation begins with basic concepts illustrated by simple examples, and proceeds through historically important results to thorough treatments of modern topics such as the renormalization group, spinor-helicity methods for quark and gluon scattering, magnetic monopoles, instantons, supersymmetry, and the unification of forces. The book is written in a modular format, with each chapter as self-contained as possible, and with the necessary prerequisite material clearly identified. It is based on a year-long course given by the author and contains extensive problems, with password protected solutions available to lecturers at www.cambridge.org/9780521864497.


Book Synopsis Quantum Field Theory by : Mark Srednicki

Download or read book Quantum Field Theory written by Mark Srednicki and published by Cambridge University Press. This book was released on 2007-01-25 with total page 664 pages. Available in PDF, EPUB and Kindle. Book excerpt: Quantum field theory is the basic mathematical framework that is used to describe elementary particles. This textbook provides a complete and essential introduction to the subject. Assuming only an undergraduate knowledge of quantum mechanics and special relativity, this book is ideal for graduate students beginning the study of elementary particles. The step-by-step presentation begins with basic concepts illustrated by simple examples, and proceeds through historically important results to thorough treatments of modern topics such as the renormalization group, spinor-helicity methods for quark and gluon scattering, magnetic monopoles, instantons, supersymmetry, and the unification of forces. The book is written in a modular format, with each chapter as self-contained as possible, and with the necessary prerequisite material clearly identified. It is based on a year-long course given by the author and contains extensive problems, with password protected solutions available to lecturers at www.cambridge.org/9780521864497.


An Introduction To Quantum Field Theory

An Introduction To Quantum Field Theory

Author: Michael E. Peskin

Publisher: CRC Press

Published: 2018-05-04

Total Pages: 866

ISBN-13: 0429983182

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An Introduction to Quantum Field Theory is a textbook intended for the graduate physics course covering relativistic quantum mechanics, quantum electrodynamics, and Feynman diagrams. The authors make these subjects accessible through carefully worked examples illustrating the technical aspects of the subject, and intuitive explanations of what is going on behind the mathematics. After presenting the basics of quantum electrodynamics, the authors discuss the theory of renormalization and its relation to statistical mechanics, and introduce the renormalization group. This discussion sets the stage for a discussion of the physical principles that underlie the fundamental interactions of elementary particle physics and their description by gauge field theories.


Book Synopsis An Introduction To Quantum Field Theory by : Michael E. Peskin

Download or read book An Introduction To Quantum Field Theory written by Michael E. Peskin and published by CRC Press. This book was released on 2018-05-04 with total page 866 pages. Available in PDF, EPUB and Kindle. Book excerpt: An Introduction to Quantum Field Theory is a textbook intended for the graduate physics course covering relativistic quantum mechanics, quantum electrodynamics, and Feynman diagrams. The authors make these subjects accessible through carefully worked examples illustrating the technical aspects of the subject, and intuitive explanations of what is going on behind the mathematics. After presenting the basics of quantum electrodynamics, the authors discuss the theory of renormalization and its relation to statistical mechanics, and introduce the renormalization group. This discussion sets the stage for a discussion of the physical principles that underlie the fundamental interactions of elementary particle physics and their description by gauge field theories.


A Prelude to Quantum Field Theory

A Prelude to Quantum Field Theory

Author: John Donoghue

Publisher: Princeton University Press

Published: 2022-02-22

Total Pages: 160

ISBN-13: 0691223505

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A concise, beginner-friendly introduction to quantum field theory Quantum field theory is a powerful framework that extends quantum mechanics in ways that are essential in many modern applications. While it is the fundamental formalism for the study of many areas of physics, quantum field theory requires a different way of thinking, and many newcomers to the subject struggle with the transition from quantum mechanics. A Prelude to Quantum Field Theory introduces the key concepts of quantum field theory in a brief and accessible manner while never sacrificing mathematical rigor. The result is an easy-to-use textbook that distills the most general properties of the theory without overwhelming beginning students with more advanced applications. Bridges quantum mechanics and quantum field theory, emphasizing analogies and differences Emphasizes a “quantum field theoretical mindset” while maintaining mathematical rigor Obtains quantum fields as the continuum limit of a quantized system of many particles Highlights the correspondence between wave function—fundamental in quantum mechanics—and the formalism of second quantization used in quantum field theory Provides a step-by-step derivation of Feynman rules for the perturbative study of interacting theories Introduces students to renormalization, path integrals techniques, and more Discusses more modern topics like effective field theories Ideal for both undergraduate and graduate students Proven in the classroom


Book Synopsis A Prelude to Quantum Field Theory by : John Donoghue

Download or read book A Prelude to Quantum Field Theory written by John Donoghue and published by Princeton University Press. This book was released on 2022-02-22 with total page 160 pages. Available in PDF, EPUB and Kindle. Book excerpt: A concise, beginner-friendly introduction to quantum field theory Quantum field theory is a powerful framework that extends quantum mechanics in ways that are essential in many modern applications. While it is the fundamental formalism for the study of many areas of physics, quantum field theory requires a different way of thinking, and many newcomers to the subject struggle with the transition from quantum mechanics. A Prelude to Quantum Field Theory introduces the key concepts of quantum field theory in a brief and accessible manner while never sacrificing mathematical rigor. The result is an easy-to-use textbook that distills the most general properties of the theory without overwhelming beginning students with more advanced applications. Bridges quantum mechanics and quantum field theory, emphasizing analogies and differences Emphasizes a “quantum field theoretical mindset” while maintaining mathematical rigor Obtains quantum fields as the continuum limit of a quantized system of many particles Highlights the correspondence between wave function—fundamental in quantum mechanics—and the formalism of second quantization used in quantum field theory Provides a step-by-step derivation of Feynman rules for the perturbative study of interacting theories Introduces students to renormalization, path integrals techniques, and more Discusses more modern topics like effective field theories Ideal for both undergraduate and graduate students Proven in the classroom


Relativistic Quantum Dynamics

Relativistic Quantum Dynamics

Author: Eugene Stefanovich

Publisher: Walter de Gruyter GmbH & Co KG

Published: 2018-11-05

Total Pages: 241

ISBN-13: 3110493225

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In this third volume of three, quantum electrodynamics is formulated in the language of physical „dressed" particles. A theory where charged particles interact via instantaneous action-at-a-distance forces is constructed - without need for renormalization. This theory describes electromagnetic phenomena in terms of directly interacting charges, but in full accord with fundamental principles of relativity and causality. Contents Three ways to look at QFT Dressing What are advantages of dressed Hamiltonian? Coulomb potential and beyond Decays RQD in higher orders Classical electrodynamics Experimental support of RQD Particles and relativity Special theory of relativity Unitary dressing transformation Integral for decay law Coulomb scattering integral in fourth order Relativistic invariance of Coulomb–Darwin–Breit electrodynamics


Book Synopsis Relativistic Quantum Dynamics by : Eugene Stefanovich

Download or read book Relativistic Quantum Dynamics written by Eugene Stefanovich and published by Walter de Gruyter GmbH & Co KG. This book was released on 2018-11-05 with total page 241 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this third volume of three, quantum electrodynamics is formulated in the language of physical „dressed" particles. A theory where charged particles interact via instantaneous action-at-a-distance forces is constructed - without need for renormalization. This theory describes electromagnetic phenomena in terms of directly interacting charges, but in full accord with fundamental principles of relativity and causality. Contents Three ways to look at QFT Dressing What are advantages of dressed Hamiltonian? Coulomb potential and beyond Decays RQD in higher orders Classical electrodynamics Experimental support of RQD Particles and relativity Special theory of relativity Unitary dressing transformation Integral for decay law Coulomb scattering integral in fourth order Relativistic invariance of Coulomb–Darwin–Breit electrodynamics


Free And Interacting Quantum Fields

Free And Interacting Quantum Fields

Author: Merches Ioan

Publisher: World Scientific

Published: 2017-10-25

Total Pages: 740

ISBN-13: 981314548X

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Modern physics is characterized by two great theories, which make it fundamentally different from its predecessor: quantum theory and theory of relativity. In this book we want to bring to the reader's attention several solutions to problems connected to the quantum-relativistic interaction of particles. Remarkably, such solutions furnished rigorous and pertinent explanations of a large set of phenomena, both in microscopic world and galactic universe. Contents: PrefaceIntroductionClassical and Quantum Free FieldsThe Gravitational Transmutations HypothesisTomonaga–Schwinger Representation of Dynamics of a Quantum Physical System. Matrix Elements of the Field Operators and Feynman{Dyson-Type Rules for High-Spin ParticlesFundamentals of Gauge Theories. The Minimal Coupling PrincipleThe Gravitational Field Interacting with Other FieldsInteraction of Scalar, Spinorial, Spin-Vectorial and Tensorial Particles, and the Gravitational Field Described by the Schwarzschild MetricScattering of Electrons and Photogeneration of Gravitons in External Gravitational FieldInteraction of Scalar, Spinorial, Vectorial, Spin-Vectorial and Tensorial Particles with the Axially-Symmetric Gravitational Field Described by the Kerr MetricSoftware Package for Analytical Calculation of Differential Cross-Sections of Gravitational Scattering of High-Spin ParticlesAppendices: Isotopic FormalismThe Dirac Matrices and the Dirac EquationOperatorial TransformationsSingular FunctionsIntegration Formulas in Momentum SpaceMatrix Elements of the Field Operators and First-Order Vertices for the Gravitational Interaction of ParticlesExpressions of the Coeffcients-Functions of the Differential and Integral Scattering Cross-Sections of Particles in the External Axially-Symmetric Gravitational Field Described by the Kerr MetricValues of Several Physical Quantities in CGS and Natural (ħ = 1, c = 1) Unit Systems. Equivalence Between Different Units of Measurement Readership: Researchers and graduate students in quantum field theory and theoretical physics. Keywords: Quantum FieldsReview: Key Features: In this book we present several solutions to problems connected to the quantum-relativistic interaction of particles. Remarkably, such solutions furnished rigorous and pertinent explanations of a large set of phenomena, both in microscopic world and universe


Book Synopsis Free And Interacting Quantum Fields by : Merches Ioan

Download or read book Free And Interacting Quantum Fields written by Merches Ioan and published by World Scientific. This book was released on 2017-10-25 with total page 740 pages. Available in PDF, EPUB and Kindle. Book excerpt: Modern physics is characterized by two great theories, which make it fundamentally different from its predecessor: quantum theory and theory of relativity. In this book we want to bring to the reader's attention several solutions to problems connected to the quantum-relativistic interaction of particles. Remarkably, such solutions furnished rigorous and pertinent explanations of a large set of phenomena, both in microscopic world and galactic universe. Contents: PrefaceIntroductionClassical and Quantum Free FieldsThe Gravitational Transmutations HypothesisTomonaga–Schwinger Representation of Dynamics of a Quantum Physical System. Matrix Elements of the Field Operators and Feynman{Dyson-Type Rules for High-Spin ParticlesFundamentals of Gauge Theories. The Minimal Coupling PrincipleThe Gravitational Field Interacting with Other FieldsInteraction of Scalar, Spinorial, Spin-Vectorial and Tensorial Particles, and the Gravitational Field Described by the Schwarzschild MetricScattering of Electrons and Photogeneration of Gravitons in External Gravitational FieldInteraction of Scalar, Spinorial, Vectorial, Spin-Vectorial and Tensorial Particles with the Axially-Symmetric Gravitational Field Described by the Kerr MetricSoftware Package for Analytical Calculation of Differential Cross-Sections of Gravitational Scattering of High-Spin ParticlesAppendices: Isotopic FormalismThe Dirac Matrices and the Dirac EquationOperatorial TransformationsSingular FunctionsIntegration Formulas in Momentum SpaceMatrix Elements of the Field Operators and First-Order Vertices for the Gravitational Interaction of ParticlesExpressions of the Coeffcients-Functions of the Differential and Integral Scattering Cross-Sections of Particles in the External Axially-Symmetric Gravitational Field Described by the Kerr MetricValues of Several Physical Quantities in CGS and Natural (ħ = 1, c = 1) Unit Systems. Equivalence Between Different Units of Measurement Readership: Researchers and graduate students in quantum field theory and theoretical physics. Keywords: Quantum FieldsReview: Key Features: In this book we present several solutions to problems connected to the quantum-relativistic interaction of particles. Remarkably, such solutions furnished rigorous and pertinent explanations of a large set of phenomena, both in microscopic world and universe


What Is a Quantum Field Theory?

What Is a Quantum Field Theory?

Author: Michel Talagrand

Publisher: Cambridge University Press

Published: 2022-03-17

Total Pages: 760

ISBN-13: 1108247113

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Quantum field theory (QFT) is one of the great achievements of physics, of profound interest to mathematicians. Most pedagogical texts on QFT are geared toward budding professional physicists, however, whereas mathematical accounts are abstract and difficult to relate to the physics. This book bridges the gap. While the treatment is rigorous whenever possible, the accent is not on formality but on explaining what the physicists do and why, using precise mathematical language. In particular, it covers in detail the mysterious procedure of renormalization. Written for readers with a mathematical background but no previous knowledge of physics and largely self-contained, it presents both basic physical ideas from special relativity and quantum mechanics and advanced mathematical concepts in complete detail. It will be of interest to mathematicians wanting to learn about QFT and, with nearly 300 exercises, also to physics students seeking greater rigor than they typically find in their courses. Erratum for the book can be found at michel.talagrand.net/erratum.pdf.


Book Synopsis What Is a Quantum Field Theory? by : Michel Talagrand

Download or read book What Is a Quantum Field Theory? written by Michel Talagrand and published by Cambridge University Press. This book was released on 2022-03-17 with total page 760 pages. Available in PDF, EPUB and Kindle. Book excerpt: Quantum field theory (QFT) is one of the great achievements of physics, of profound interest to mathematicians. Most pedagogical texts on QFT are geared toward budding professional physicists, however, whereas mathematical accounts are abstract and difficult to relate to the physics. This book bridges the gap. While the treatment is rigorous whenever possible, the accent is not on formality but on explaining what the physicists do and why, using precise mathematical language. In particular, it covers in detail the mysterious procedure of renormalization. Written for readers with a mathematical background but no previous knowledge of physics and largely self-contained, it presents both basic physical ideas from special relativity and quantum mechanics and advanced mathematical concepts in complete detail. It will be of interest to mathematicians wanting to learn about QFT and, with nearly 300 exercises, also to physics students seeking greater rigor than they typically find in their courses. Erratum for the book can be found at michel.talagrand.net/erratum.pdf.


A Story of Light

A Story of Light

Author: M. Y. Han

Publisher: World Scientific

Published: 2004

Total Pages: 116

ISBN-13: 9812560343

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This book presents the essential aspects of relativistic quantum field theory, with minimal use of mathematics. It covers the development of quantum field theory from the original quantization of electromagnetic field to the gauge field theory of interactions among quarks and leptons.Aimed at both scientists and non-specialists, it requires only some rudimentary knowledge of the Lagrangian and Hamiltonian formulation of Newtonian mechanics and a basic understanding of the special theory of relativity and quantum mechanics.


Book Synopsis A Story of Light by : M. Y. Han

Download or read book A Story of Light written by M. Y. Han and published by World Scientific. This book was released on 2004 with total page 116 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents the essential aspects of relativistic quantum field theory, with minimal use of mathematics. It covers the development of quantum field theory from the original quantization of electromagnetic field to the gauge field theory of interactions among quarks and leptons.Aimed at both scientists and non-specialists, it requires only some rudimentary knowledge of the Lagrangian and Hamiltonian formulation of Newtonian mechanics and a basic understanding of the special theory of relativity and quantum mechanics.