From Classical to Quantum Fields
From Classical to Quantum Fields

Author: Laurent Baulieu

Publisher: Oxford University Press

Published: 2017

Total Pages: 951

ISBN-13: 0198788398

DOWNLOAD EBOOK

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.

From Classical Field Theory to Perturbative Quantum Field Theory
From Classical Field Theory to Perturbative Quantum Field Theory

Author: Michael Dütsch

Publisher: Springer

Published: 2019-03-18

Total Pages: 553

ISBN-13: 3030047385

DOWNLOAD EBOOK

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.

Dynamics of Classical and Quantum Fields
Dynamics of Classical and Quantum Fields

Author: Girish S. Setlur

Publisher: Taylor & Francis

Published: 2013-12-05

Total Pages: 383

ISBN-13: 1466556293

DOWNLOAD EBOOK

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

Lectures on Classical and Quantum Theory of Fields
Lectures on Classical and Quantum Theory of Fields

Author: Henryk Arodz

Publisher: Springer

Published: 2017-04-22

Total Pages: 360

ISBN-13: 3319556193

DOWNLOAD EBOOK

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.

Classical Solutions in Quantum Field Theory
Classical Solutions in Quantum Field Theory

Author: Erick J. Weinberg

Publisher: Cambridge University Press

Published: 2012-08-16

Total Pages: 341

ISBN-13: 0521114632

DOWNLOAD EBOOK

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

The Physics of Quantum Fields
The Physics of Quantum Fields

Author: Michael Stone

Publisher: Springer Science & Business Media

Published: 2012-12-06

Total Pages: 285

ISBN-13: 1461205077

DOWNLOAD EBOOK

A gentle introduction to the physics of quantized fields and many-body physics. Based on courses taught at the University of Illinois, it concentrates on the basic conceptual issues that many students find difficult, and emphasizes the physical and visualizable aspects of the subject. While the text is intended for students with a wide range of interests, many of the examples are drawn from condensed matter physics because of the tangible character of such systems. The first part of the book uses the Hamiltonian operator language of traditional quantum mechanics to treat simple field theories and related topics, while the Feynman path integral is introduced in the second half where it is seen as indispensable for understanding the connection between renormalization and critical as well as non-perturbative phenomena.

From Classical Mechanics To Quantum Field Theory, A Tutorial
From Classical Mechanics To Quantum Field Theory, A Tutorial

Author: Manuel Asorey

Publisher: World Scientific

Published: 2020-01-14

Total Pages: 255

ISBN-13: 9811210500

DOWNLOAD EBOOK

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.

Advanced Classical Field Theory
Advanced Classical Field Theory

Author: G. Giachetta

Publisher: World Scientific

Published: 2009

Total Pages: 393

ISBN-13: 9812838961

DOWNLOAD EBOOK

Contemporary quantum field theory is mainly developed as quantization of classical fields. Therefore, classical field theory and its BRST extension is the necessary step towards quantum field theory. This book aims to provide a complete mathematical foundation of Lagrangian classical field theory and its BRST extension for the purpose of quantization. Based on the standard geometric formulation of theory of nonlinear differential operators, Lagrangian field theory is treated in a very general setting. Reducible degenerate Lagrangian theories of even and odd fields on an arbitrary smooth manifold are considered. The second Noether theorems generalized to these theories and formulated in the homology terms provide the strict mathematical formulation of BRST extended classical field theory. The most physically relevant field theories OCo gauge theory on principal bundles, gravitation theory on natural bundles, theory of spinor fields and topological field theory OCo are presented in a complete way. This book is designed for theoreticians and mathematical physicists specializing in field theory. The authors have tried throughout to provide the necessary mathematical background, thus making the exposition self-contained.

Connections In Classical And Quantum Field Theory
Connections In Classical And Quantum Field Theory

Author: Luigi Mangiarotti

Publisher: World Scientific

Published: 2000-04-28

Total Pages: 516

ISBN-13: 9814501409

DOWNLOAD EBOOK

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.

Quantum Fields
Quantum Fields

Author: Michael Kachelriess

Publisher: Oxford University Press

Published: 2018

Total Pages: 546

ISBN-13: 0198802870

DOWNLOAD EBOOK

Coherent approach leading to a more comprehensive understanding of quantum field theory and cosmology. Includes discussion of a variety of applications, has numerous worked examples and problems, and is self-contained and suitable for self study.--