Covariant Techniques In Quantum Field Theory

Author : Enrique Álvarez,Jesús Anero
Publisher : Springer Nature
Page : 94 pages
File Size : 55,5 Mb
Release : 2022-09-11
Category : Science
ISBN : 9783031137266

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Covariant Techniques in Quantum Field Theory by Enrique Álvarez,Jesús Anero Pdf

The purpose of this book is to illustrate some of the most important techniques which are helpful in combinatorial problems when computing quantum effects in covariant theories, like general relativity. In fact, most of the techniques find application also in broader contexts, such as low energy effective (chiral) Lagrangians or even in specific problems in condensed matter. Some of the topics covered are: the background field approach and the heat kernel ideas. The arguments are explained in some detail and the presentation is meant for young researchers and advanced students who are starting working in the field. As prerequisite the reader should have attended a course in quantum field theory including Feynman’s path integral. In the Appendix a nontrivial calculation of one-loop divergences in Einstein-Hilbert gravity is explained step-by-step.

Author : Elcio Abdalla,M. Cristina B. Abdalla
Publisher : World Scientific
Page : 834 pages
File Size : 52,8 Mb
Release : 2001
Category : Science
ISBN : 9789812810151

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Non-perturbative Methods in 2 Dimensional Quantum Field Theory by Elcio Abdalla,M. Cristina B. Abdalla Pdf

The second edition of Non-Perturbative Methods in Two-Dimensional Quantum Field Theory is an extensively revised version, involving major changes and additions. Although much of the material is special to two dimensions, the techniques used should prove helpful also in the development of techniques applicable in higher dimensions. In particular, the last three chapters of the book will be of direct interest to researchers wanting to work in the field of conformal field theory and strings. This book is intended for students working for their PhD degree and post-doctoral researchers wishing to acquaint themselves with the non-perturbative aspects of quantum field theory. Contents: Free Fields; The Thirring Model; Determinants and Heat Kernels; Self-Interacting Fermionic Models; Nonlinear a Models: Classical Aspects; Nonlinear a Models OCo Quantum Aspects; Exact S-Matrices of 2D Models; The Wess-Zumino-Witten Theory; QED 2: Operator Approach; Quantum Chromodynamics; QED 2: Functional Approach; The Finite Temperature Schwinger Model; Non-Abelian Chiral Gauge Theories; Chiral Quantum Electrodynamics; Conformally Invariant Field Theory; Conformal Field Theory with Internal Symmetry; 2D Gravity and String-Related Topics. Readership: Graduate students and researchers in high energy and quantum physics."

Author : Mario Rasetti
Publisher : World Scientific
Page : 234 pages
File Size : 55,5 Mb
Release : 1990
Category : Science
ISBN : 9810202253

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New Problems, Methods and Techniques in Quantum Field Theory and Statistical Mechanics by Mario Rasetti Pdf

http://www.worldscientific.com/worldscibooks/10.1142/1095

Author : Mark Burgess
Publisher : Cambridge University Press
Page : 555 pages
File Size : 50,6 Mb
Release : 2002-04-04
Category : Science
ISBN : 9781139432979

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Classical Covariant Fields by Mark Burgess Pdf

This 2002 book discusses the classical foundations of field theory, using the language of variational methods and covariance, and relating the subject to quantum field theory. Ideal as a supplementary text for graduate courses on elementary field theory, group theory and dynamical systems. Also a valuable reference for researchers.

Author : Michael Bordag
Publisher : Springer-Verlag
Page : 272 pages
File Size : 41,9 Mb
Release : 2013-07-02
Category : Technology & Engineering
ISBN : 9783663012047

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Quantum Field Theory Under the Influence of External Conditions by Michael Bordag Pdf

Author : Kieran Finn
Publisher : Springer Nature
Page : 212 pages
File Size : 47,5 Mb
Release : 2021-10-07
Category : Science
ISBN : 9783030852696

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Geometric Approaches to Quantum Field Theory by Kieran Finn Pdf

The ancient Greeks believed that everything in the Universe should be describable in terms of geometry. This thesis takes several steps towards realising this goal by introducing geometric descriptions of systems such as quantum gravity, fermionic particles and the origins of the Universe itself. The author extends the applicability of previous work by Vilkovisky, DeWitt and others to include theories with spin 1⁄2 and spin 2 degrees of freedom. In addition, he introduces a geometric description of the potential term in a quantum field theory through a process known as the Eisenhart lift. Finally, the methods are applied to the theory of inflation, where they show how geometry can help answer a long-standing question about the initial conditions of the Universe. This publication is aimed at graduate and advanced undergraduate students and provides a pedagogical introduction to the exciting topic of field space covariance and the complete geometrization of quantum field theory.

Author : Dmitri Fursaev,Dmitri Vassilevich
Publisher : Springer Science & Business Media
Page : 294 pages
File Size : 44,5 Mb
Release : 2011-06-25
Category : Science
ISBN : 9789400702059

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Operators, Geometry and Quanta by Dmitri Fursaev,Dmitri Vassilevich Pdf

This book gives a detailed and self-contained introduction into the theory of spectral functions, with an emphasis on their applications to quantum field theory. All methods are illustrated with applications to specific physical problems from the forefront of current research, such as finite-temperature field theory, D-branes, quantum solitons and noncommutativity. In the first part of the book, necessary background information on differential geometry and quantization, including less standard material, is collected. The second part of the book contains a detailed description of main spectral functions and methods of their calculation. In the third part, the theory is applied to several examples (D-branes, quantum solitons, anomalies, noncommutativity). This book addresses advanced graduate students and researchers in mathematical physics with basic knowledge of quantum field theory and differential geometry. The aim is to prepare readers to use spectral functions in their own research, in particular in relation to heat kernels and zeta functions.

Author : Gerhard Grensing
Publisher : World Scientific
Page : 1656 pages
File Size : 41,7 Mb
Release : 2021-07-15
Category : Science
ISBN : 9789811237096

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Structural Aspects Of Quantum Field Theory And Noncommutative Geometry (Second Edition) (In 2 Volumes) by Gerhard Grensing Pdf

The book is devoted to the subject of quantum field theory. It is divided into two volumes. The first volume can serve as a textbook on main techniques and results of quantum field theory, while the second treats more recent developments, in particular the subject of quantum groups and noncommutative geometry, and their interrelation.The second edition is extended by additional material, mostly concerning the impact of noncommutative geometry on theories beyond the standard model of particle physics, especially the possible role of torsion in the context of the dark matter problem. Furthermore, the text includes a discussion of the Randall-Sundrum model and the Seiberg-Witten equations.

Author : Lewis H. Ryder
Publisher : Cambridge University Press
Page : 128 pages
File Size : 48,6 Mb
Release : 1996-06-06
Category : Science
ISBN : 9781139643122

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Quantum Field Theory by Lewis H. Ryder Pdf

This book is a modern pedagogic introduction to the ideas and techniques of quantum field theory. After a brief overview of particle physics and a survey of relativistic wave equations and Lagrangian methods, the quantum theory of scalar and spinor fields, and then of gauge fields, is developed. The emphasis throughout is on functional methods, which have played a large part in modern field theory. The book concludes with a brief survey of 'topological' objects in field theory and, new to this edition, a chapter devoted to supersymmetry.

Author : Iosif L. Buchbinder,Ilya Shapiro
Publisher : Oxford University Press
Page : 464 pages
File Size : 50,5 Mb
Release : 2021-03-01
Category : Science
ISBN : 9780192575319

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Introduction to Quantum Field Theory with Applications to Quantum Gravity by Iosif L. Buchbinder,Ilya Shapiro Pdf

Applications of quantum field theoretical methods to gravitational physics, both in the semiclassical and the full quantum frameworks, require a careful formulation of the fundamental basis of quantum theory, with special attention to such important issues as renormalization, quantum theory of gauge theories, and especially effective action formalism. The first part of this graduate textbook provides both a conceptual and technical introduction to the theory of quantum fields. The presentation is consistent, starting from elements of group theory, classical fields, and moving on to the effective action formalism in general gauge theories. Compared to other existing books, the general formalism of renormalization in described in more detail, and special attention paid to gauge theories. This part can serve as a textbook for a one-semester introductory course in quantum field theory. In the second part, we discuss basic aspects of quantum field theory in curved space, and perturbative quantum gravity. More than half of Part II is written with a full exposition of details, and includes elaborated examples of simplest calculations. All chapters include exercises ranging from very simple ones to those requiring small original investigations. The selection of material of the second part is done using the “must-know” principle. This means we included detailed expositions of relatively simple techniques and calculations, expecting that the interested reader will be able to learn more advanced issues independently after working through the basic material, and completing the exercises.

Author : T. Borne,G. Lochak,H. Stumpf
Publisher : Springer Science & Business Media
Page : 327 pages
File Size : 52,8 Mb
Release : 2006-04-11
Category : Science
ISBN : 9780306471315

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Nonperturbative Quantum Field Theory and the Structure of Matter by T. Borne,G. Lochak,H. Stumpf Pdf

"This book, which presents a new view of quantum field theory, may serve as a research monograph and an alternative textbook examining topics which are not usually treated in conventional works." "Audience: This volume will appeal to researchers concerned with the foundation of the theory of matter and forces including gravitation. It will also be interesting to those working with quantum field theoretic methods in various disciplines, such as particle physics, nuclear physics, condensed mater physics, and relativity."--Jacket.

Author : Alexey A Petrov,Andrew E Blechman
Publisher : World Scientific
Page : 320 pages
File Size : 45,6 Mb
Release : 2015-11-18
Category : Science
ISBN : 9789814434942

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Effective Field Theories by Alexey A Petrov,Andrew E Blechman Pdf

' This book is a broad-based text intended to help the growing student body interested in constructing and applying methods of effective field theory to solve problems in their research. It begins with a review of using symmetries to identify the relevant degrees of freedom in a problem, and then presents a variety of methods that can be used to construct various effective theories. A detailed discussion of canonical applications of effective field theory techniques with increasing complexity is given, including Fermi''s weak interaction, heavy-quark effective theory, and soft-collinear effective theory. Applications of these techniques to study physics beyond the standard model, dark matter, and quantum and classical gravity are explored. Although most examples come from questions in high-energy physics, many of the methods can also be applied in condensed-matter settings. Appendices include various factoids from group theory and other topics that are used throughout the text, in an attempt to make the book self-contained. Contents:IntroductionSymmetriesElementary TechniquesEffective Field Theories of Type IEffective Field Theories of Type II. Part AEffective Field Theories of Type II. Part BEffective Field Theories of Type III. Fast Particles in Effective TheoriesStandard Model as an Effective Field TheoryEffective Field Theories of GravityOutlook Readership: For the advanced student having studied quantum field theory at the level of Peskin and Schroeder''s text. Key Features:Presents the only comprehensive book on effective field theories and their applications in different subfields of theoretical physics on the marketIncludes new topics such as soft-collinear effective theory that are not included in any other textbookKeywords:Effective Field Theories;Quantum Field Theory;Bound And Unstable States;Bethe-Salpeter Equations;Lagrangian Approach;Hamiltonian Approach;Theory Of Quantized Fields;Renormalization;Renormalization Group'

Author : Iosif L. Buchbinder,Ilya Shapiro
Publisher : Oxford University Press, USA
Page : 536 pages
File Size : 51,9 Mb
Release : 2021-03
Category : Science
ISBN : 9780198838319

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Introduction to Quantum Field Theory with Applications to Quantum Gravity by Iosif L. Buchbinder,Ilya Shapiro Pdf

This textbook presents a detailed introduction to the general concepts of quantum field theory, with special emphasis on principal aspects of functional methods and renormalization in gauge theories, and includes an introduction to semiclassical and perturbative quantum gravity in flat and curved spacetimes.

Author : Percacci Roberto
Publisher : World Scientific
Page : 312 pages
File Size : 43,6 Mb
Release : 2017-02-17
Category : Science
ISBN : 9789813207196

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An Introduction To Covariant Quantum Gravity And Asymptotic Safety by Percacci Roberto Pdf

This book covers recent developments in the covariant formulation of quantum gravity. Developed in the 1960s by Feynman and DeWitt, by the 1980s this approach seemed to lead nowhere due to perturbative non-renormalizability. The possibility of non-perturbative renormalizability or "asymptotic safety", originally suggested by Weinberg but largely ignored for two decades, was revived towards the end of the century by technical progress in the field of the renormalization group. It is now a very active field of research, providing an alternative to other approaches to quantum gravity. Written by one of the early contributors to this subject, this book provides a gentle introduction to the relevant ideas and calculational techniques. Several explicit calculations gradually bring the reader close to the current frontier of research. The main difficulties and present lines of development are also outlined.

Author : Ivan G. Avramidi
Publisher : Springer Science & Business Media
Page : 152 pages
File Size : 45,8 Mb
Release : 2003-07-01
Category : Science
ISBN : 9783540465232

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Heat Kernel and Quantum Gravity by Ivan G. Avramidi Pdf

This book tackles quantum gravity via the so-called background field method and its effective action functional. The author presents an explicitly covariant and effective technique to calculate the de Witt coefficients and to analyze the Schwinger-de Wit asymptotic expansion of the effective action. He also investigates the ultraviolet behaviour of higher-derivative quantum gravity. The book addresses theoretical physicists, graduate students as well as researchers, but should also be of interest to physicists working in mathematical or elementary particle physics.