Topological and Non-Topological Solitons in Scalar Field Theories

Topological and Non-Topological Solitons in Scalar Field Theories

Author: Yakov M. Shnir

Publisher: Cambridge University Press

Published: 2018-07-26

Total Pages: 281

ISBN-13: 1108429912

DOWNLOAD EBOOK

An introduction to integrable and non-integrable scalar field models, with topological and non-topological soliton solutions. Focusing on both topological and non-topological solitons, this book brings together discussion of solitary waves and construction of soliton solutions and provides a discussion of solitons using simple model examples.


Book Synopsis Topological and Non-Topological Solitons in Scalar Field Theories by : Yakov M. Shnir

Download or read book Topological and Non-Topological Solitons in Scalar Field Theories written by Yakov M. Shnir and published by Cambridge University Press. This book was released on 2018-07-26 with total page 281 pages. Available in PDF, EPUB and Kindle. Book excerpt: An introduction to integrable and non-integrable scalar field models, with topological and non-topological soliton solutions. Focusing on both topological and non-topological solitons, this book brings together discussion of solitary waves and construction of soliton solutions and provides a discussion of solitons using simple model examples.


Nontopological Solitons

Nontopological Solitons

Author: L Wilets

Publisher: World Scientific

Published: 1989-01-01

Total Pages: 168

ISBN-13: 9814507490

DOWNLOAD EBOOK

Successful modeling of quantum chromodynamics with a relativistic quark-soliton field theory has been developed over the past decade. As introduced by R Freidberg and T D Lee, the foundation of the model involves the chromodielectric properties of the physical vacuum, which yield absolute color confinement. The model allows for the consistent calculation of the dynamics of hadrons and hadronic reactions. The book summarizes and expands upon the extensive literature on the subject, concentrating on the Friedberg-Lee model and variations thereof. New results and future directions are included. Theory, mathematical methods and numerical results are emphasized. Contents:IntroductionThe ModelsThe Mean Field Approximation: Classical and QuantalProjection and BoostThe Generator Coordinate MethodOne Gluon ExchangeParameter Sets and ResultsA Chirally-Invariant Chromo-Dielectric Soliton ModelQuantum Corrections and RenormalizationMany Bag ProblemRestrospect & ProspectsAppendix: Numerical Methods Readership: High energy and nuclear physicists.


Book Synopsis Nontopological Solitons by : L Wilets

Download or read book Nontopological Solitons written by L Wilets and published by World Scientific. This book was released on 1989-01-01 with total page 168 pages. Available in PDF, EPUB and Kindle. Book excerpt: Successful modeling of quantum chromodynamics with a relativistic quark-soliton field theory has been developed over the past decade. As introduced by R Freidberg and T D Lee, the foundation of the model involves the chromodielectric properties of the physical vacuum, which yield absolute color confinement. The model allows for the consistent calculation of the dynamics of hadrons and hadronic reactions. The book summarizes and expands upon the extensive literature on the subject, concentrating on the Friedberg-Lee model and variations thereof. New results and future directions are included. Theory, mathematical methods and numerical results are emphasized. Contents:IntroductionThe ModelsThe Mean Field Approximation: Classical and QuantalProjection and BoostThe Generator Coordinate MethodOne Gluon ExchangeParameter Sets and ResultsA Chirally-Invariant Chromo-Dielectric Soliton ModelQuantum Corrections and RenormalizationMany Bag ProblemRestrospect & ProspectsAppendix: Numerical Methods Readership: High energy and nuclear physicists.


Topological Solitons

Topological Solitons

Author: Nicholas Manton

Publisher: Cambridge University Press

Published: 2004-06-10

Total Pages: 507

ISBN-13: 1139454692

DOWNLOAD EBOOK

Topological solitons occur in many nonlinear classical field theories. They are stable, particle-like objects, with finite mass and a smooth structure. Examples are monopoles and Skyrmions, Ginzburg-Landau vortices and sigma-model lumps, and Yang-Mills instantons. This book is a comprehensive survey of static topological solitons and their dynamical interactions. Particular emphasis is placed on the solitons which satisfy first-order Bogomolny equations. For these, the soliton dynamics can be investigated by finding the geodesics on the moduli space of static multi-soliton solutions. Remarkable scattering processes can be understood this way. The book starts with an introduction to classical field theory, and a survey of several mathematical techniques useful for understanding many types of topological soliton. Subsequent chapters explore key examples of solitons in one, two, three and four dimensions. The final chapter discusses the unstable sphaleron solutions which exist in several field theories.


Book Synopsis Topological Solitons by : Nicholas Manton

Download or read book Topological Solitons written by Nicholas Manton and published by Cambridge University Press. This book was released on 2004-06-10 with total page 507 pages. Available in PDF, EPUB and Kindle. Book excerpt: Topological solitons occur in many nonlinear classical field theories. They are stable, particle-like objects, with finite mass and a smooth structure. Examples are monopoles and Skyrmions, Ginzburg-Landau vortices and sigma-model lumps, and Yang-Mills instantons. This book is a comprehensive survey of static topological solitons and their dynamical interactions. Particular emphasis is placed on the solitons which satisfy first-order Bogomolny equations. For these, the soliton dynamics can be investigated by finding the geodesics on the moduli space of static multi-soliton solutions. Remarkable scattering processes can be understood this way. The book starts with an introduction to classical field theory, and a survey of several mathematical techniques useful for understanding many types of topological soliton. Subsequent chapters explore key examples of solitons in one, two, three and four dimensions. The final chapter discusses the unstable sphaleron solutions which exist in several field theories.


Non-Inertial Frames and Dirac Observables in Relativity

Non-Inertial Frames and Dirac Observables in Relativity

Author: Luca Lusanna

Publisher: Cambridge University Press

Published: 2019-07-04

Total Pages: 339

ISBN-13: 110857419X

DOWNLOAD EBOOK

Interpreting general relativity relies on a proper description of non-inertial frames and Dirac observables. This book describes global non-inertial frames in special and general relativity. The first part covers special relativity and Minkowski space time, before covering general relativity, globally hyperbolic Einstein space-time, and the application of the 3+1 splitting method to general relativity. The author uses a Hamiltonian description and the Dirac–Bergmann theory of constraints to show that the transition between one non-inertial frame and another is a gauge transformation, extra variables describing the frame are gauge variables, and the measureable matter quantities are gauge invariant Dirac observables. Point particles, fluids and fields are also discussed, including how to treat the problems of relative times in the description of relativistic bound states, and the problem of relativistic centre of mass. Providing a detailed description of mathematical methods, the book is perfect for theoretical physicists, researchers and students working in special and general relativity.


Book Synopsis Non-Inertial Frames and Dirac Observables in Relativity by : Luca Lusanna

Download or read book Non-Inertial Frames and Dirac Observables in Relativity written by Luca Lusanna and published by Cambridge University Press. This book was released on 2019-07-04 with total page 339 pages. Available in PDF, EPUB and Kindle. Book excerpt: Interpreting general relativity relies on a proper description of non-inertial frames and Dirac observables. This book describes global non-inertial frames in special and general relativity. The first part covers special relativity and Minkowski space time, before covering general relativity, globally hyperbolic Einstein space-time, and the application of the 3+1 splitting method to general relativity. The author uses a Hamiltonian description and the Dirac–Bergmann theory of constraints to show that the transition between one non-inertial frame and another is a gauge transformation, extra variables describing the frame are gauge variables, and the measureable matter quantities are gauge invariant Dirac observables. Point particles, fluids and fields are also discussed, including how to treat the problems of relative times in the description of relativistic bound states, and the problem of relativistic centre of mass. Providing a detailed description of mathematical methods, the book is perfect for theoretical physicists, researchers and students working in special and general relativity.


Fourteenth Marcel Grossmann Meeting, The: On Recent Developments In Theoretical And Experimental General Relativity, Astrophysics, And Relativistic Field Theories - Proceedings Of The Mg14 Meeting On General Relativity (In 4 Parts)

Fourteenth Marcel Grossmann Meeting, The: On Recent Developments In Theoretical And Experimental General Relativity, Astrophysics, And Relativistic Field Theories - Proceedings Of The Mg14 Meeting On General Relativity (In 4 Parts)

Author: Massimo Bianchi

Publisher: World Scientific

Published: 2017-10-13

Total Pages: 4784

ISBN-13: 9813226617

DOWNLOAD EBOOK

The four volumes of the proceedings of MG14 give a broad view of all aspects of gravitational physics and astrophysics, from mathematical issues to recent observations and experiments. The scientific program of the meeting included 35 morning plenary talks over 6 days, 6 evening popular talks and 100 parallel sessions on 84 topics over 4 afternoons.Volume A contains plenary and review talks ranging from the mathematical foundations of classical and quantum gravitational theories including recent developments in string theory, to precision tests of general relativity including progress towards the detection of gravitational waves, and from supernova cosmology to relativistic astrophysics, including topics such as gamma ray bursts, black hole physics both in our galaxy and in active galactic nuclei in other galaxies, and neutron star, pulsar and white dwarf astrophysics.The remaining volumes include parallel sessions which touch on dark matter, neutrinos, X-ray sources, astrophysical black holes, neutron stars, white dwarfs, binary systems, radiative transfer, accretion disks, quasars, gamma ray bursts, supernovas, alternative gravitational theories, perturbations of collapsed objects, analog models, black hole thermodynamics, numerical relativity, gravitational lensing, large scale structure, observational cosmology, early universe models and cosmic microwave background anisotropies, inhomogeneous cosmology, inflation, global structure, singularities, chaos, Einstein-Maxwell systems, wormholes, exact solutions of Einstein's equations, gravitational waves, gravitational wave detectors and data analysis, precision gravitational measurements, quantum gravity and loop quantum gravity, quantum cosmology, strings and branes, self-gravitating systems, gamma ray astronomy, cosmic rays and the history of general relativity.


Book Synopsis Fourteenth Marcel Grossmann Meeting, The: On Recent Developments In Theoretical And Experimental General Relativity, Astrophysics, And Relativistic Field Theories - Proceedings Of The Mg14 Meeting On General Relativity (In 4 Parts) by : Massimo Bianchi

Download or read book Fourteenth Marcel Grossmann Meeting, The: On Recent Developments In Theoretical And Experimental General Relativity, Astrophysics, And Relativistic Field Theories - Proceedings Of The Mg14 Meeting On General Relativity (In 4 Parts) written by Massimo Bianchi and published by World Scientific. This book was released on 2017-10-13 with total page 4784 pages. Available in PDF, EPUB and Kindle. Book excerpt: The four volumes of the proceedings of MG14 give a broad view of all aspects of gravitational physics and astrophysics, from mathematical issues to recent observations and experiments. The scientific program of the meeting included 35 morning plenary talks over 6 days, 6 evening popular talks and 100 parallel sessions on 84 topics over 4 afternoons.Volume A contains plenary and review talks ranging from the mathematical foundations of classical and quantum gravitational theories including recent developments in string theory, to precision tests of general relativity including progress towards the detection of gravitational waves, and from supernova cosmology to relativistic astrophysics, including topics such as gamma ray bursts, black hole physics both in our galaxy and in active galactic nuclei in other galaxies, and neutron star, pulsar and white dwarf astrophysics.The remaining volumes include parallel sessions which touch on dark matter, neutrinos, X-ray sources, astrophysical black holes, neutron stars, white dwarfs, binary systems, radiative transfer, accretion disks, quasars, gamma ray bursts, supernovas, alternative gravitational theories, perturbations of collapsed objects, analog models, black hole thermodynamics, numerical relativity, gravitational lensing, large scale structure, observational cosmology, early universe models and cosmic microwave background anisotropies, inhomogeneous cosmology, inflation, global structure, singularities, chaos, Einstein-Maxwell systems, wormholes, exact solutions of Einstein's equations, gravitational waves, gravitational wave detectors and data analysis, precision gravitational measurements, quantum gravity and loop quantum gravity, quantum cosmology, strings and branes, self-gravitating systems, gamma ray astronomy, cosmic rays and the history of general relativity.


Phase Transitions in the Early Universe: Theory and Observations

Phase Transitions in the Early Universe: Theory and Observations

Author: Héctor J. De Vega

Publisher: Springer Science & Business Media

Published: 2012-12-06

Total Pages: 589

ISBN-13: 940100997X

DOWNLOAD EBOOK

A fundamental, profound review of the key issues relating to the early universe and the physical processes that occurred in it. The interplay between cosmic microwave background radiation, large scale structure, and the dark matter problem are stressed, with a central focus on the crucial issue of the phase transitions in the early universe and their observable consequences: baryon symmetry, baryogenesis and cosmological fluctuations. There is an interplay between cosmology, statistical physics and particle physics in studying these problems, both at the theoretical and the experimental / observational levels. Special contributions are devoted to primordial and astrophysical black holes and to high energy cosmic rays and neutrino astrophysics. There is also a special section devoted to the International Space Station and its scientific utilization.


Book Synopsis Phase Transitions in the Early Universe: Theory and Observations by : Héctor J. De Vega

Download or read book Phase Transitions in the Early Universe: Theory and Observations written by Héctor J. De Vega and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 589 pages. Available in PDF, EPUB and Kindle. Book excerpt: A fundamental, profound review of the key issues relating to the early universe and the physical processes that occurred in it. The interplay between cosmic microwave background radiation, large scale structure, and the dark matter problem are stressed, with a central focus on the crucial issue of the phase transitions in the early universe and their observable consequences: baryon symmetry, baryogenesis and cosmological fluctuations. There is an interplay between cosmology, statistical physics and particle physics in studying these problems, both at the theoretical and the experimental / observational levels. Special contributions are devoted to primordial and astrophysical black holes and to high energy cosmic rays and neutrino astrophysics. There is also a special section devoted to the International Space Station and its scientific utilization.


Topological Solitons

Topological Solitons

Author: Nicholas S. Manton

Publisher:

Published: 2002-02

Total Pages: 493

ISBN-13: 9780521632447

DOWNLOAD EBOOK

"This book is suitable for graduate students and researchers in theoretical physics and applied mathematics."--BOOK JACKET.Title Summary field provided by Blackwell North America, Inc. All Rights Reserved


Book Synopsis Topological Solitons by : Nicholas S. Manton

Download or read book Topological Solitons written by Nicholas S. Manton and published by . This book was released on 2002-02 with total page 493 pages. Available in PDF, EPUB and Kindle. Book excerpt: "This book is suitable for graduate students and researchers in theoretical physics and applied mathematics."--BOOK JACKET.Title Summary field provided by Blackwell North America, Inc. All Rights Reserved


Noether Symmetries in Theories of Gravity

Noether Symmetries in Theories of Gravity

Author: Francesco Bajardi

Publisher: Cambridge University Press

Published: 2022-11-30

Total Pages: 451

ISBN-13: 1009208748

DOWNLOAD EBOOK

This volume summarizes the many modified theories of gravity and shows how to select physically viable models using symmetry principles.


Book Synopsis Noether Symmetries in Theories of Gravity by : Francesco Bajardi

Download or read book Noether Symmetries in Theories of Gravity written by Francesco Bajardi and published by Cambridge University Press. This book was released on 2022-11-30 with total page 451 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume summarizes the many modified theories of gravity and shows how to select physically viable models using symmetry principles.


Semiclassical and Stochastic Gravity

Semiclassical and Stochastic Gravity

Author: Bei-Lok B. Hu

Publisher: Cambridge University Press

Published: 2020-03-05

Total Pages: 615

ISBN-13: 0521193575

DOWNLOAD EBOOK

An overview of semi-classical gravity theory and stochastic gravity as theories of quantum gravity in curved space-time.


Book Synopsis Semiclassical and Stochastic Gravity by : Bei-Lok B. Hu

Download or read book Semiclassical and Stochastic Gravity written by Bei-Lok B. Hu and published by Cambridge University Press. This book was released on 2020-03-05 with total page 615 pages. Available in PDF, EPUB and Kindle. Book excerpt: An overview of semi-classical gravity theory and stochastic gravity as theories of quantum gravity in curved space-time.


The Large Scale Structure of Space-Time

The Large Scale Structure of Space-Time

Author: Stephen W. Hawking

Publisher: Cambridge University Press

Published: 2023-02-16

Total Pages: 414

ISBN-13: 1009253182

DOWNLOAD EBOOK

First published in 1973, this influential work discusses Einstein's General Theory of Relativity to show how two of its predictions arise: first, that the ultimate fate of many massive stars is to undergo gravitational collapse to form 'black holes'; and second, that there was a singularity in the past at the beginning of the universe. Starting with a precise formulation of the theory, including the necessary differential geometry, the authors discuss the significance of space-time curvature and examine the properties of a number of exact solutions of Einstein's field equations. They develop the theory of the causal structure of a general space-time, and use it to prove a number of theorems establishing the inevitability of singularities under certain conditions. A Foreword contributed by Abhay Ashtekar and a new Preface from George Ellis help put the volume into context of the developments in the field over the past fifty years.


Book Synopsis The Large Scale Structure of Space-Time by : Stephen W. Hawking

Download or read book The Large Scale Structure of Space-Time written by Stephen W. Hawking and published by Cambridge University Press. This book was released on 2023-02-16 with total page 414 pages. Available in PDF, EPUB and Kindle. Book excerpt: First published in 1973, this influential work discusses Einstein's General Theory of Relativity to show how two of its predictions arise: first, that the ultimate fate of many massive stars is to undergo gravitational collapse to form 'black holes'; and second, that there was a singularity in the past at the beginning of the universe. Starting with a precise formulation of the theory, including the necessary differential geometry, the authors discuss the significance of space-time curvature and examine the properties of a number of exact solutions of Einstein's field equations. They develop the theory of the causal structure of a general space-time, and use it to prove a number of theorems establishing the inevitability of singularities under certain conditions. A Foreword contributed by Abhay Ashtekar and a new Preface from George Ellis help put the volume into context of the developments in the field over the past fifty years.