From Classical To Quantum Fields

Author : Laurent Baulieu,John Iliopoulos,Roland Seneor,Roland Sénéor
Publisher : Oxford University Press
Page : 951 pages
File Size : 45,5 Mb
Release : 2017
Category : Science
ISBN : 9780198788393

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From Classical to Quantum Fields by Laurent Baulieu,John Iliopoulos,Roland Seneor,Roland Sénéor Pdf

Quantum Field Theory has become the universal language of most modern theoretical physics. This introductory textbook shows how this beautiful theory offers the correct mathematical framework to describe and understand the fundamental interactions of elementary particles. The book begins with a brief reminder of basic classical field theories, electrodynamics and general relativity, as well as their symmetry properties, and proceeds with the principles of quantisation following Feynman's path integral approach. Special care is used at every step to illustrate the correct mathematical formulation of the underlying assumptions. Gauge theories and the problems encountered in their quantisation are discussed in detail. The last chapters contain a full description of the Standard Model of particle physics and the attempts to go beyond it, such as grand unified theories and supersymmetry. Written for advanced undergraduate and beginning graduate students in physics and mathematics, the book could also serve as a reference for active researchers in the field.

Author : Girish S. Setlur
Publisher : Taylor & Francis
Page : 383 pages
File Size : 40,6 Mb
Release : 2013-12-05
Category : Science
ISBN : 9781466556294

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Dynamics of Classical and Quantum Fields by Girish S. Setlur Pdf

Dynamics of Classical and Quantum Fields: An Introduction focuses on dynamical fields in non-relativistic physics. Written by a physicist for physicists, the book is designed to help readers develop analytical skills related to classical and quantum fields at the non-relativistic level, and think about the concepts and theory through numerous probl

Author : Michael Dütsch
Publisher : Springer
Page : 536 pages
File Size : 40,6 Mb
Release : 2019-03-18
Category : Mathematics
ISBN : 9783030047382

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From Classical Field Theory to Perturbative Quantum Field Theory by Michael Dütsch Pdf

This book develops a novel approach to perturbative quantum field theory: starting with a perturbative formulation of classical field theory, quantization is achieved by means of deformation quantization of the underlying free theory and by applying the principle that as much of the classical structure as possible should be maintained. The resulting formulation of perturbative quantum field theory is a version of the Epstein-Glaser renormalization that is conceptually clear, mathematically rigorous and pragmatically useful for physicists. The connection to traditional formulations of perturbative quantum field theory is also elaborated on, and the formalism is illustrated in a wealth of examples and exercises.

Author : Tai-Kai Ng
Publisher : Wiley-VCH
Page : 304 pages
File Size : 53,9 Mb
Release : 2009-04-27
Category : Science
ISBN : 352740726X

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Introduction to Classical and Quantum Field Theory by Tai-Kai Ng Pdf

This is the first introductory textbook on quantum field theory to be written from the point of view of condensed matter physics. As such, it presents the basic concepts and techniques of statistical field theory, clearly explaining how and why they are integrated into modern (and classical) field theory, and includes the latest developments. Written by an expert in the field, with a broad experience in teaching and training, it manages to present such substantial topics as phases and phase transitions or solitons and instantons in an accessible and concise way. Divided into two parts, the first covers fundamental physics and the mathematics background needed by students in order to enter the field, while the second part discusses applications of quantum field theory to a few basic problems. The emphasis here lies on how modern concepts of quantum field theory are embedded in these approaches, and also on the limitations of standard quantum field theory techniques in facing 'real' physics problems. Throughout, there are numerous end-of-chapter problems, and a free solutions manual is available for lecturers.

Author : Henryk Arodz,Leszek Hadasz
Publisher : Springer
Page : 353 pages
File Size : 47,6 Mb
Release : 2017-04-22
Category : Science
ISBN : 9783319556192

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Lectures on Classical and Quantum Theory of Fields by Henryk Arodz,Leszek Hadasz Pdf

This textbook addresses graduate students starting to specialize in theoretical physics. It provides didactic introductions to the main topics in the theory of fields, while taking into account the contemporary view of the subject. The student will find concise explanations of basic notions essential for applications of the theory of fields as well as for frontier research in theoretical physics. One third of the book is devoted to classical fields. Each chapter contains exercises of varying degree of difficulty with hints or solutions, plus summaries and worked examples as useful. It aims to deliver a unique combination of classical and quantum field theory in one compact course.

Author : Manuel Asorey,Elisa Ercolessi,Valter Moretti
Publisher : World Scientific
Page : 255 pages
File Size : 52,8 Mb
Release : 2020-01-14
Category : Science
ISBN : 9789811210501

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From Classical Mechanics To Quantum Field Theory, A Tutorial by Manuel Asorey,Elisa Ercolessi,Valter Moretti Pdf

This book collects an extended version of the lectures delivered by the authors at the Fall Workshop on Geometry and Physics in the years 2014, 2015, 2016.It aims at introducing advanced graduate and PhD students, as well as young researchers, to current research in mathematics and physics. In particular, it fills the gap between the more physical-oriented and the more mathematical-oriented literature on quantum theory. It introduces various approaches to methods of quantization, along with their impact on modern mathematical methods.

Author : L Mangiarotti,G Sardanashvily
Publisher : World Scientific
Page : 516 pages
File Size : 52,6 Mb
Release : 2000-04-28
Category : Science
ISBN : 9789814501408

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Connections in Classical and Quantum Field Theory by L Mangiarotti,G Sardanashvily Pdf

Geometrical notions and methods play an important role in both classical and quantum field theory, and a connection is a deep structure which apparently underlies the gauge-theoretical models in field theory and mechanics. This book is an encyclopaedia of modern geometric methods in theoretical physics. It collects together the basic mathematical facts about various types of connections, and provides a detailed exposition of relevant physical applications. It discusses the modern issues concerning the gauge theories of fundamental fields. The authors have tried to give all the necessary mathematical background, thus making the book self-contained. This book should be useful to graduate students, physicists and mathematicians who are interested in the issue of deep interrelations between theoretical physics and geometry. keywords:Lagrangian Field Theory;Hamiltonian Field Theory;Classical Mechanics;BRST Formalism;Topological Field Theories;Non-Commutative Geometry;Theoretical Physics;Mathematical Physics;Fibre Bundle;Connection;Jet Manifold;Gauge Theory;Gravitation;Theory;Quantum Field;Geometric Quantization;Supergeometry;BRST;Theory “this book certainly offers a valuable supplement to the existing literature on the impact of connection theory on theoretical physics.” Mathematical Reviews

Author : Laurent Baulieu
Publisher : Unknown
Page : 128 pages
File Size : 44,7 Mb
Release : 2016
Category : Electronic
ISBN : 0191830313

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From Classical to Quantum Fields by Laurent Baulieu Pdf

Author : Erick J. Weinberg
Publisher : Cambridge University Press
Page : 341 pages
File Size : 45,8 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.

Author : G. Giachetta,L. G. Magiaradze,Gennadi? Aleksandrovich Sardanashvili
Publisher : World Scientific
Page : 405 pages
File Size : 53,7 Mb
Release : 2011
Category : Science
ISBN : 9789814313728

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Geometric Formulation of Classical and Quantum Mechanics by G. Giachetta,L. G. Magiaradze,Gennadi? Aleksandrovich Sardanashvili Pdf

The geometric formulation of autonomous Hamiltonian mechanics in the terms of symplectic and Poisson manifolds is generally accepted. This book provides the geometric formulation of non-autonomous mechanics in a general setting of time-dependent coordinate and reference frame transformations.

Author : Frederick W. Byron,Robert W. Fuller
Publisher : Courier Corporation
Page : 674 pages
File Size : 51,8 Mb
Release : 2012-04-26
Category : Science
ISBN : 9780486135069

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Mathematics of Classical and Quantum Physics by Frederick W. Byron,Robert W. Fuller Pdf

Graduate-level text offers unified treatment of mathematics applicable to many branches of physics. Theory of vector spaces, analytic function theory, theory of integral equations, group theory, and more. Many problems. Bibliography.

Author : Anthony G. Williams
Publisher : Cambridge University Press
Page : 794 pages
File Size : 50,7 Mb
Release : 2022-07-31
Category : Science
ISBN : 9781108600873

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Introduction to Quantum Field Theory by Anthony G. Williams Pdf

This textbook offers a detailed and uniquely self-contained presentation of quantum and gauge field theories. Writing from a modern perspective, the author begins with a discussion of advanced dynamics and special relativity before guiding students steadily through the fundamental principles of relativistic quantum mechanics and classical field theory. This foundation is then used to develop the full theoretical framework of quantum and gauge field theories. The introductory, opening half of the book allows it to be used for a variety of courses, from advanced undergraduate to graduate level, and students lacking a formal background in more elementary topics will benefit greatly from this approach. Williams provides full derivations wherever possible and adopts a pedagogical tone without sacrificing rigour. Worked examples are included throughout the text and end-of-chapter problems help students to reinforce key concepts. A fully worked solutions manual is available online for instructors.

Author : Nicholas P. Landsman
Publisher : Springer Science & Business Media
Page : 547 pages
File Size : 46,8 Mb
Release : 2012-12-06
Category : Science
ISBN : 9781461216803

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Mathematical Topics Between Classical and Quantum Mechanics by Nicholas P. Landsman Pdf

This monograph draws on two traditions: the algebraic formulation of quantum mechanics as well as quantum field theory, and the geometric theory of classical mechanics. These are combined in a unified treatment of the theory of Poisson algebras of observables and pure state spaces with a transition probability, which leads on to a discussion of the theory of quantization and the classical limit from this perspective. A prototype of quantization comes from the analogy between the C*- algebra of a Lie groupoid and the Poisson algebra of the corresponding Lie algebroid. The parallel between reduction of symplectic manifolds in classical mechanics and induced representations of groups and C*- algebras in quantum mechanics plays an equally important role. Examples from physics include constrained quantization, curved spaces, magnetic monopoles, gauge theories, massless particles, and $theta$- vacua. Accessible to mathematicians with some prior knowledge of classical and quantum mechanics, and to mathematical physicists and theoretical physicists with some background in functional analysis.

Author : A. Zee
Publisher : Princeton University Press
Page : 608 pages
File Size : 42,9 Mb
Release : 2010-02-01
Category : Science
ISBN : 9781400835324

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Quantum Field Theory in a Nutshell by A. Zee Pdf

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

Author : Martin C. Gutzwiller
Publisher : Springer Science & Business Media
Page : 445 pages
File Size : 40,8 Mb
Release : 2013-11-27
Category : Mathematics
ISBN : 9781461209836

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Chaos in Classical and Quantum Mechanics by Martin C. Gutzwiller Pdf

Describes the chaos apparent in simple mechanical systems with the goal of elucidating the connections between classical and quantum mechanics. It develops the relevant ideas of the last two decades via geometric intuition rather than algebraic manipulation. The historical and cultural background against which these scientific developments have occurred is depicted, and realistic examples are discussed in detail. This book enables entry-level graduate students to tackle fresh problems in this rich field.