Field Theory Concepts

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The Conceptual Framework of Quantum Field Theory

Anthony Duncan
The Conceptual Framework of Quantum Field Theory Book PDF

Author : Anthony Duncan
Publisher : Oxford University Press
Page : 128 pages
File Size : 50,9 Mb
Release : 2012-08-09
Category : Science
ISBN : 9780191642203

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The Conceptual Framework of Quantum Field Theory by Anthony Duncan Pdf

The book attempts to provide an introduction to quantum field theory emphasizing conceptual issues frequently neglected in more "utilitarian" treatments of the subject. The book is divided into four parts, entitled respectively "Origins", "Dynamics", "Symmetries", and "Scales". The emphasis is conceptual - the aim is to build the theory up systematically from some clearly stated foundational concepts - and therefore to a large extent anti-historical, but two historical Chapters ("Origins") are included to situate quantum field theory in the larger context of modern physical theories. The three remaining sections of the book follow a step by step reconstruction of this framework beginning with just a few basic assumptions: relativistic invariance, the basic principles of quantum mechanics, and the prohibition of physical action at a distance embodied in the clustering principle. The "Dynamics" section of the book lays out the basic structure of quantum field theory arising from the sequential insertion of quantum-mechanical, relativistic and locality constraints. The central role of symmetries in relativistic quantum field theories is explored in the third section of the book, while in the final section, entitled "Scales", we explore in detail the feature of quantum field theories most critical for their enormous phenomenological success - the scale separation property embodied by the renormalization group properties of a theory defined by an effective local Lagrangian.

Conceptual Foundations of Quantum Field Theory

Tian Yu Cao
Conceptual Foundations of Quantum Field Theory Book PDF

Author : Tian Yu Cao
Publisher : Cambridge University Press
Page : 424 pages
File Size : 44,6 Mb
Release : 2004-03-25
Category : Science
ISBN : 0521602726

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Conceptual Foundations of Quantum Field Theory by Tian Yu Cao Pdf

Multi-author volume on the history and philosophy of physics.

Quantum Field Theory and Gravity

Felix Finster,Olaf Müller,Marc Nardmann,Jürgen Tolksdorf,Eberhard Zeidler
Quantum Field Theory and Gravity Book PDF

Author : Felix Finster,Olaf Müller,Marc Nardmann,Jürgen Tolksdorf,Eberhard Zeidler
Publisher : Springer Science & Business Media
Page : 382 pages
File Size : 53,7 Mb
Release : 2012-02-08
Category : Mathematics
ISBN : 9783034800433

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Quantum Field Theory and Gravity by Felix Finster,Olaf Müller,Marc Nardmann,Jürgen Tolksdorf,Eberhard Zeidler Pdf

One of the most challenging problems of contemporary theoretical physics is the mathematically rigorous construction of a theory which describes gravitation and the other fundamental physical interactions within a common framework. The physical ideas which grew from attempts to develop such a theory require highly advanced mathematical methods and radically new physical concepts. This book presents different approaches to a rigorous unified description of quantum fields and gravity. It contains a carefully selected cross-section of lively discussions which took place in autumn 2010 at the fifth conference "Quantum field theory and gravity - Conceptual and mathematical advances in the search for a unified framework" in Regensburg, Germany. In the tradition of the other proceedings covering this series of conferences, a special feature of this book is the exposition of a wide variety of approaches, with the intention to facilitate a comparison. The book is mainly addressed to mathematicians and physicists who are interested in fundamental questions of mathematical physics. It allows the reader to obtain a broad and up-to-date overview of a fascinating active research area.

Field Theory Concepts

Adolf J. Schwab
Field Theory Concepts Book PDF

Author : Adolf J. Schwab
Publisher : Springer Science & Business Media
Page : 234 pages
File Size : 52,6 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9783642489419

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Field Theory Concepts by Adolf J. Schwab Pdf

"Field Theory Concepts" is a new approach to the teaching and understanding of field theory. Exploiting formal analo- gies of electric, magnetic, and conduction fields and introducing generic concepts results in a transparently structured electomagnetic field theory. Highly illustrative terms alloweasyaccess to the concepts of curl and div which generally are conceptually demanding. Emphasis is placed on the static, quasistatic and dynamic nature of fields. Eventually, numerical field calculation algorithms, e.g. Finite Element method and Monte Carlo method, are presented in a concise yet illustrative manner.

Quantum Field Theory

Thanu Padmanabhan
Quantum Field Theory Book PDF

Author : Thanu Padmanabhan
Publisher : Springer
Page : 283 pages
File Size : 53,8 Mb
Release : 2016-02-02
Category : Science
ISBN : 9783319281735

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Quantum Field Theory by Thanu Padmanabhan Pdf

This book describes, in clear terms, the Why, What and the How of Quantum Field Theory. The raison d'etre of QFT is explained by starting from the dynamics of a relativistic particle and demonstrating how it leads to the notion of quantum fields. Non-perturbative aspects and the Wilsonian interpretation of field theory are emphasized right from the start. Several interesting topics such as the Schwinger effect, Davies-Unruh effect, Casimir effect and spontaneous symmetry breaking introduce the reader to the elegance and breadth of applicability of field theoretical concepts. Complementing the conceptual aspects, the book also develops all the relevant mathematical techniques in detail, leading e.g., to the computation of anomalous magnetic moment of the electron and the two-loop renormalisation of the self-interacting scalar field. It contains nearly a hundred problems, of varying degrees of difficulty, making it suitable for both self-study and classroom use.

Contemporary Psychoanalytic Field Theory

S. Montana Katz
Contemporary Psychoanalytic Field Theory Book PDF

Author : S. Montana Katz
Publisher : Routledge
Page : 186 pages
File Size : 54,9 Mb
Release : 2016-07-28
Category : Psychology
ISBN : 9781317637080

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Contemporary Psychoanalytic Field Theory by S. Montana Katz Pdf

Contemporary Psychoanalytic Field Theory articulates the theory, heuristic principles, and clinical techniques of psychoanalytic field theory. S. Montana Katz describes the historical, philosophical and clinical contexts for the development of field theory in South America, North America and Europe. Field theory is a family of related bi-personal psychoanalytic perspectives falling into three principal models, which developed relatively independently. One of the principal models is based upon the work of Madeleine and Willy Baranger. The second, constructed by Katz, draws upon what is held in common by the implicit field theories in the United States of the interpersonal, intersubjective, relational and motivational systems’ psychoanalytic perspectives. The third is based upon the work of Antonino Ferro. For each, Katz elucidates its conception of mind, unconscious processes, the specific field concept employed, therapeutic goals, and clinical techniques. Similarities and differences of the models are illustrated. In the book, a fabricated analytic process is offered in which an analysand, Zoe, is engaged in three analyses. Each analyst works with the techniques of one of the three field theories. Katz conveys the diverging thought processes and technical choices of each analyst and the potentially different therapeutic outcomes of the application of each model. In the final chapters, Katz moves beyond the specific field theories to articulate a concept of a general field which underlies the three field concepts. She explores how to use this generalized field to find a form of common ground amongst the field theories, conjecturing that this generalized concept has application beyond field theory to a greater range of psychoanalytic perspectives. Contemporary Psychoanalytic Field Theory provides a clear and comprehensive guide that will appeal to psychoanalysts, psychoanalytic psychotherapists, mental health professionals and clinicians, as well as philosophers, psychologists, sociologists and anthropologists.

Quantum Field Theory on Curved Spacetimes

Christian Bär,Klaus Fredenhagen
Quantum Field Theory on Curved Spacetimes Book PDF

Author : Christian Bär,Klaus Fredenhagen
Publisher : Springer
Page : 167 pages
File Size : 54,6 Mb
Release : 2009-09-18
Category : Science
ISBN : 9783642027802

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Quantum Field Theory on Curved Spacetimes by Christian Bär,Klaus Fredenhagen Pdf

After some decades of work a satisfactory theory of quantum gravity is still not available; moreover, there are indications that the original field theoretical approach may be better suited than originally expected. There, to first approximation, one is left with the problem of quantum field theory on Lorentzian manifolds. Surprisingly, this seemingly modest approach leads to far reaching conceptual and mathematical problems and to spectacular predictions, the most famous one being the Hawking radiation of black holes. Ingredients of this approach are the formulation of quantum physics in terms of C*-algebras, the geometry of Lorentzian manifolds, in particular their causal structure, and linear hyperbolic differential equations where the well-posedness of the Cauchy problem plays a distinguished role, as well as more recently the insights from suitable concepts such as microlocal analysis. This primer is an outgrowth of a compact course given by the editors and contributing authors to an audience of advanced graduate students and young researchers in the field, and assumes working knowledge of differential geometry and functional analysis on the part of the reader.

Advanced Concepts in Particle and Field Theory

Tristan Hübsch
Advanced Concepts in Particle and Field Theory Book PDF

Author : Tristan Hübsch
Publisher : Cambridge University Press
Page : 581 pages
File Size : 45,7 Mb
Release : 2015-06-11
Category : Science
ISBN : 9781107097483

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Advanced Concepts in Particle and Field Theory by Tristan Hübsch Pdf

An expansive and conceptually unifying textbook of fundamental and theoretical physics, describing elementary particles and their interactions.

Advanced Concepts in Quantum Field Theory

James M. Cline
Advanced Concepts in Quantum Field Theory Book PDF

Author : James M. Cline
Publisher : Springer Nature
Page : 153 pages
File Size : 44,6 Mb
Release : 2020-10-21
Category : Science
ISBN : 9783030561680

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Advanced Concepts in Quantum Field Theory by James M. Cline Pdf

This book comprises the second half of a quantum field theory (QFT) course for graduate students. It gives a concise introduction to advanced concepts that are important for research in elementary particle theory. Topics include the path integral, loop expansion, Feynman rules, various regularization methods, renormalization, running couplings and the renormalization group, fixed points and asymptotic freedom, effective action, Coleman-Weinberg effective potential, fermions, the axial anomaly, QED, gauge fixing, nonabelian gauge theories, unitarity, optical theorem, Slavnov-Taylor identities, beta function of Yang-Mills theory, a heuristic derivation of asymptotic freedom, instantons in SU(N) gauge theory, theta vacua and the strong CP problem. Exercises are included and are intended for advanced graduate students or postdocs seeking to deepen their understanding of QFT.

Basics of Thermal Field Theory

Mikko Laine,Aleksi Vuorinen
Basics of Thermal Field Theory Book PDF

Author : Mikko Laine,Aleksi Vuorinen
Publisher : Springer
Page : 288 pages
File Size : 52,8 Mb
Release : 2016-06-09
Category : Science
ISBN : 9783319319339

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Basics of Thermal Field Theory by Mikko Laine,Aleksi Vuorinen Pdf

This book presents thermal field theory techniques, which can be applied in both cosmology and the theoretical description of the QCD plasma generated in heavy-ion collision experiments. It focuses on gauge interactions (whether weak or strong), which are essential in both contexts. As well as the many differences in the physics questions posed and in the microscopic forces playing a central role, the authors also explain the similarities and the techniques, such as the resummations, that are needed for developing a formally consistent perturbative expansion. The formalism is developed step by step, starting from quantum mechanics; introducing scalar, fermionic and gauge fields; describing the issues of infrared divergences; resummations and effective field theories; and incorporating systems with finite chemical potentials. With this machinery in place, the important class of real-time (dynamic) observables is treated in some detail. This is followed by an overview of a number of applications, ranging from the study of phase transitions and particle production rate computations, to the concept of transport and damping coefficients that play a ubiquitous role in current developments. The book serves as a self-contained textbook on relativistic thermal field theory for undergraduate and graduate students of theoretical high-energy physics.

A Prelude to Quantum Field Theory

John Donoghue,Lorenzo Sorbo
A Prelude to Quantum Field Theory Book PDF

Author : John Donoghue,Lorenzo Sorbo
Publisher : Princeton University Press
Page : 160 pages
File Size : 54,8 Mb
Release : 2022-03-08
Category : Science
ISBN : 9780691223483

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A Prelude to Quantum Field Theory by John Donoghue,Lorenzo Sorbo Pdf

"A Prelude to Quantum Field Theory offers a short introduction to quantum field theory (QFT), a powerful framework for understanding particle behavior that is an essential tool across many subfields of physics. A subject that is typically taught at the graduate level in most physics departments, quantum field theory is a unification of standard quantum theories and special relativity, which depicts all particles as "excitations" that arise in underlying fields. It extends quantum mechanics, the modern theory of one or few particles, in a way that is useful for the analysis of many-particle systems in the real world. As it requires a different style of thinking from quantum mechanics, which is typically the undergraduate physics student's first encounter with the quantum world, many beginners struggle with the transition to quantum field theory, especially when working with traditional textbooks. Existing books on the subject often tend to be large, sophisticated, and complete; and an overwhelming wealth of information and technical detail makes it difficult for the novice to discern what is most important. This book is a concise, friendly entrée for QFT-beginners, guiding the reader from the style of quantum mechanical thinking to that of QFT, and distilling the key ideas without a welter of unnecessary detail. In contrast with standard texts, which are predominantly particle physics-centric, this book is designed to be "subfield-neutral" - usable by students of any background and interest, and easily adaptable in a course setting according to instructors' preferences. The authors' conviction is that QFT is a core element of physics that should be understood by all PhD physicists-but that developing an appreciation for it does not require digesting a large, encyclopedic volume"--

Quantum Field Theory

Lewis H. Ryder
Quantum Field Theory Book PDF

Author : Lewis H. Ryder
Publisher : Cambridge University Press
Page : 516 pages
File Size : 44,5 Mb
Release : 1996-06-06
Category : Science
ISBN : 0521478146

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Quantum Field Theory by Lewis H. Ryder Pdf

This book is a modern 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 author develops the quantum theory of scalar and spinor fields, and then of gauge fields. 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. Graduate students in particle physics and high energy physics will benefit from this book.

Particles, Fields and Forces

Wouter Schmitz
Particles Fields and Forces Book PDF

Author : Wouter Schmitz
Publisher : Springer
Page : 321 pages
File Size : 49,8 Mb
Release : 2019-04-23
Category : Science
ISBN : 9783030128784

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Particles, Fields and Forces by Wouter Schmitz Pdf

How can fundamental particles exist as waves in the vacuum? How can such waves have particle properties such as inertia? What is behind the notion of “virtual” particles? Why and how do particles exert forces on one another? Not least: What are forces anyway? These are some of the central questions that have intriguing answers in Quantum Field Theory and the Standard Model of Particle Physics. Unfortunately, these theories are highly mathematical, so that most people - even many scientists - are not able to fully grasp their meaning. This book unravels these theories in a conceptual manner, using more than 180 figures and extensive explanations and will provide the nonspecialist with great insights that are not to be found in the popular science literature.

Quantum Field Theory in a Nutshell

A. Zee
Quantum Field Theory in a Nutshell Book PDF

Author : A. Zee
Publisher : Princeton University Press
Page : 608 pages
File Size : 43,5 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

Condensed Matter Field Theory

Alexander Altland,Ben D. Simons
Condensed Matter Field Theory Book PDF

Author : Alexander Altland,Ben D. Simons
Publisher : Cambridge University Press
Page : 785 pages
File Size : 49,8 Mb
Release : 2010-03-11
Category : Science
ISBN : 9780521769754

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Condensed Matter Field Theory by Alexander Altland,Ben D. Simons Pdf

This primer is aimed at elevating graduate students of condensed matter theory to a level where they can engage in independent research. Topics covered include second quantisation, path and functional field integration, mean-field theory and collective phenomena.