Solitons And Instantons

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Solitons and Instantons

Author : R. Rajaraman
Publisher : Unknown
Page : 409 pages
File Size : 44,8 Mb
Release : 1987
Category : Electronic
ISBN : OCLC:311890547

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Solitons and Instantons by R. Rajaraman Pdf

Solitons, Instantons, and Twistors

Author : Maciej Dunajski
Publisher : Oxford University Press
Page : 374 pages
File Size : 50,7 Mb
Release : 2010
Category : Mathematics
ISBN : 9780198570622

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Solitons, Instantons, and Twistors by Maciej Dunajski Pdf

A text aimed at third year undergraduates and graduates in mathematics and physics, presenting elementary twistor theory as a universal technique for solving differential equations in applied mathematics and theoretical physics.

Classical Solutions in Quantum Field Theory

Author : Erick J. Weinberg
Publisher : Cambridge University Press
Page : 341 pages
File Size : 44,9 Mb
Release : 2012-08-16
Category : Science
ISBN : 9780521114639

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Classical Solutions in Quantum Field Theory by Erick J. Weinberg Pdf

An overview of classical solutions and their consequences in quantum field theory, high energy physics and cosmology for graduates and researchers.

Topological Solitons

Author : Nicholas Manton,Paul Sutcliffe
Publisher : Cambridge University Press
Page : 507 pages
File Size : 47,8 Mb
Release : 2004-06-10
Category : Science
ISBN : 9781139454698

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Topological Solitons by Nicholas Manton,Paul Sutcliffe Pdf

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.

Solitons in Field Theory and Nonlinear Analysis

Author : Yisong Yang
Publisher : Springer Science & Business Media
Page : 571 pages
File Size : 51,8 Mb
Release : 2013-03-14
Category : Mathematics
ISBN : 9781475765489

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Solitons in Field Theory and Nonlinear Analysis by Yisong Yang Pdf

There are two approaches in the study of differential equations of field theory. The first, finding closed-form solutions, works only for a narrow category of problems. Written by a well-known active researcher, this book focuses on the second, which is to investigate solutions using tools from modern nonlinear analysis.

Classical Theory of Gauge Fields

Author : Valery Rubakov
Publisher : Princeton University Press
Page : 456 pages
File Size : 40,8 Mb
Release : 2009-02-09
Category : Science
ISBN : 9781400825097

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Classical Theory of Gauge Fields by Valery Rubakov Pdf

Based on a highly regarded lecture course at Moscow State University, this is a clear and systematic introduction to gauge field theory. It is unique in providing the means to master gauge field theory prior to the advanced study of quantum mechanics. Though gauge field theory is typically included in courses on quantum field theory, many of its ideas and results can be understood at the classical or semi-classical level. Accordingly, this book is organized so that its early chapters require no special knowledge of quantum mechanics. Aspects of gauge field theory relying on quantum mechanics are introduced only later and in a graduated fashion--making the text ideal for students studying gauge field theory and quantum mechanics simultaneously. The book begins with the basic concepts on which gauge field theory is built. It introduces gauge-invariant Lagrangians and describes the spectra of linear perturbations, including perturbations above nontrivial ground states. The second part focuses on the construction and interpretation of classical solutions that exist entirely due to the nonlinearity of field equations: solitons, bounces, instantons, and sphalerons. The third section considers some of the interesting effects that appear due to interactions of fermions with topological scalar and gauge fields. Mathematical digressions and numerous problems are included throughout. An appendix sketches the role of instantons as saddle points of Euclidean functional integral and related topics. Perfectly suited as an advanced undergraduate or beginning graduate text, this book is an excellent starting point for anyone seeking to understand gauge fields.

Modern Quantum Field Theory

Author : Tom Banks
Publisher : Cambridge University Press
Page : 323 pages
File Size : 48,6 Mb
Release : 2008-09-18
Category : Science
ISBN : 9781139473897

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Modern Quantum Field Theory by Tom Banks Pdf

Presenting a variety of topics that are only briefly touched on in other texts, this book provides a thorough introduction to the techniques of field theory. Covering Feynman diagrams and path integrals, the author emphasizes the path integral approach, the Wilsonian approach to renormalization, and the physics of non-abelian gauge theory. It provides a thorough treatment of quark confinement and chiral symmetry breaking, topics not usually covered in other texts at this level. The Standard Model of particle physics is discussed in detail. Connections with condensed matter physics are explored, and there is a brief, but detailed, treatment of non-perturbative semi-classical methods. Ideal for graduate students in high energy physics and condensed matter physics, the book contains many problems,which help students practise the key techniques of quantum field theory.

Instantons in Gauge Theories

Author : M. Shifman
Publisher : World Scientific
Page : 506 pages
File Size : 41,6 Mb
Release : 1994
Category : Science
ISBN : 9810218265

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Instantons in Gauge Theories by M. Shifman Pdf

This volume is a compilation of works which, taken together, give a complete and consistent presentation of instanton calculus in non-Abelian gauge theories, as it exists now. Some of the papers reproduced are instanton classics. Among other things, they show from a historical perspective how the instanton solution has been found, the motivation behind it and how the physical meaning of instantons has been revealed. Other papers are devoted to different aspects of instanton formalism including instantons in supersymmetric gauge theories. A few unsolved problems associated with instantons are described in great detail. The papers are organized into several sections that are linked both logically and historically, accompanied by extensive comments.

Solitons and Instantons

Author : R. Rajaraman
Publisher : North Holland
Page : 409 pages
File Size : 46,5 Mb
Release : 1982-01-01
Category : Science
ISBN : 0444862293

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Solitons and Instantons by R. Rajaraman Pdf

Topology And Physics

Author : Chen Ning Yang,Mo-lin Ge,Yang-hui He
Publisher : World Scientific
Page : 231 pages
File Size : 55,8 Mb
Release : 2019-01-09
Category : Science
ISBN : 9789813278684

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Topology And Physics by Chen Ning Yang,Mo-lin Ge,Yang-hui He Pdf

'The book is an engaging and influential collection of significant contributions from an assembly of world expert leaders and pioneers from different fields, working at the interface between topology and physics or applications of topology to physical systems … The book explores many interesting and novel topics that lie at the intersection between gravity, quantum fields, condensed matter, physical cosmology and topology … A rich, well-organized, and comprehensive overview of remarkable and insightful connections between physics and topology is here made available to the physics reader.'Contemporary PhysicsSince its birth in Poincaré's seminal 1894 'Analysis Situs', topology has become a cornerstone of mathematics. As with all beautiful mathematical concepts, topology inevitably — resonating with that Wignerian principle of the effectiveness of mathematics in the natural sciences — finds its prominent role in physics. From Chern-Simons theory to topological quantum field theory, from knot invariants to Calabi-Yau compactification in string theory, from spacetime topology in cosmology to the recent Nobel Prize winning work on topological insulators, the interactions between topology and physics have been a triumph over the past few decades.In this eponymous volume, we are honoured to have contributions from an assembly of grand masters of the field, guiding us with their world-renowned expertise on the subject of the interplay between 'Topology' and 'Physics'. Beginning with a preface by Chen Ning Yang on his recollections of the early days, we proceed to a novel view of nuclei from the perspective of complex geometry by Sir Michael Atiyah and Nick Manton, followed by an entrée toward recent developments in two-dimensional gravity and intersection theory on the moduli space of Riemann surfaces by Robbert Dijkgraaf and Edward Witten; a study of Majorana fermions and relations to the Braid group by Louis H Kauffman; a pioneering investigation on arithmetic gauge theory by Minhyong Kim; an anecdote-enriched review of singularity theorems in black-hole physics by Sir Roger Penrose; an adventure beyond anyons by Zhenghan Wang; an aperçu on topological insulators from first-principle calculations by Haijun Zhang and Shou-Cheng Zhang; finishing with synopsis on quantum information theory as one of the four revolutions in physics and the second quantum revolution by Xiao-Gang Wen. We hope that this book will serve to inspire the research community.

Solitons and Instantons, Operator Quantization

Author : Vitaliĭ Lazarevich Ginzburg
Publisher : Unknown
Page : 320 pages
File Size : 52,5 Mb
Release : 1987
Category : Science
ISBN : UVA:X001323140

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Solitons and Instantons, Operator Quantization by Vitaliĭ Lazarevich Ginzburg Pdf

Non-Perturbative Field Theory

Author : Yitzhak Frishman,Jacob Sonnenschein
Publisher : Cambridge University Press
Page : 455 pages
File Size : 53,6 Mb
Release : 2010-04-08
Category : Science
ISBN : 9781139486484

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Non-Perturbative Field Theory by Yitzhak Frishman,Jacob Sonnenschein Pdf

Providing a new perspective on quantum field theory, this book is useful for graduate students and researchers within and outside the field. It describes non-perturbative methods, and explores two-dimensional and four-dimensional gauge dynamics using those methods. Applications are thoroughly described.

Supersymmetric Solitons

Author : M. Shifman,A. Yung
Publisher : Cambridge University Press
Page : 275 pages
File Size : 46,9 Mb
Release : 2023-07-31
Category : Science
ISBN : 9781009402170

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Supersymmetric Solitons by M. Shifman,A. Yung Pdf

Physics of Solitons

Author : Thierry Dauxois,Michel Peyrard
Publisher : Cambridge University Press
Page : 435 pages
File Size : 54,7 Mb
Release : 2006-03-09
Category : Mathematics
ISBN : 9780521854214

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Physics of Solitons by Thierry Dauxois,Michel Peyrard Pdf

This textbook gives an instructive view of solitons and their applications for advanced students of physics.

Quantum Field Theory

Author : Mark Srednicki
Publisher : Cambridge University Press
Page : 664 pages
File Size : 43,5 Mb
Release : 2007-01-25
Category : Science
ISBN : 9781139462761

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Quantum Field Theory by Mark Srednicki Pdf

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.