A Philosophical Approach to Quantum Field Theory

Author: Hans Christian Öttinger

Publisher: Cambridge University Press

ISBN: 1108415113

Category: Science

Page: N.A

View: 9715

Approach to quantum field theory -- Scalar field theory -- Quantum electrodynamics -- Perspectives
Posted in Science

An Interpretive Introduction to Quantum Field Theory

Author: Paul Teller

Publisher: Princeton University Press

ISBN: 9780691016276

Category: Science

Page: 176

View: 3115

In a critically acclaimed work, philosophy professor Paul Teller lays forth the basic ideas of quantum field theory in a way that is understandable to readers who are familiar with non-relativistic quantum mechanics. Teller challenges philosophers to extend their thinking beyond the realm of quantum mechanics; and he challenges physicists to consider the philosophical issues that their explorations have encouraged.
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An Invitation to Quantum Field Theory

Author: Luis Alvarez-Gaumé,Miguel A. Vázquez-Mozo

Publisher: Springer Science & Business Media

ISBN: 3642237274

Category: Science

Page: 294

View: 6833

This book provides an introduction to Quantum Field Theory (QFT) at an elementary level—with only special relativity, electromagnetism and quantum mechanics as prerequisites. For this fresh approach to teaching QFT, based on numerous lectures and courses given by the authors, a representative sample of topics has been selected containing some of the more innovative, challenging or subtle concepts. They are presented with a minimum of technical details, the discussion of the main ideas being more important than the presentation of the typically very technical mathematical details necessary to obtain the final results. Special attention is given to the realization of symmetries in particle physics: global and local symmetries, explicit, spontaneously broken, and anomalous continuous symmetries, as well as discrete symmetries. Beyond providing an overview of the standard model of the strong, weak and electromagnetic interactions and the current understanding of the origin of mass, the text enumerates the general features of renormalization theory as well as providing a cursory description of effective field theories and the problem of naturalness in physics. Among the more advanced topics the reader will find are an outline of the first principles derivation of the CPT theorem and the spin-statistics connection. As indicated by the title, the main aim of this text is to motivate the reader to study QFT by providing a self-contained and approachable introduction to the most exciting and challenging aspects of this successful theoretical framework.
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The Global Approach to Quantum Field Theory

Author: Bryce Seligman DeWitt

Publisher: Oxford University Press

ISBN: 9780198527909

Category: Quantum field theory

Page: 1053

View: 8518

This new volume takes a complete look at how classical field theory, quantum mechanics and quantum field theory are interrelated. It takes a global approach and discusses the importance of quantization by relating it to different theories such as tree amplitude and conservation laws. There arespecial chapters devoted to Euclideanization and renormalization, space and time inversion and the closed-time-path formalism.
Posted in Quantum field theory

Quantum Field Theory

A Modern Introduction

Author: Michio Kaku

Publisher: Oxford University Press

ISBN: 9780195091588

Category: Science

Page: 785

View: 328

"This lucid introduction to modern quantum field theory fills the need for a text that details the basics of field theory as well as the practical and theoretical implications of quantum chromodynamics (QCD) and the Standard Model."--Back cover.
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A Pedestrian Approach to Quantum Field Theory

Author: Edward G Harris

Publisher: Courier Corporation

ISBN: 048679329X

Category: Science

Page: 192

View: 391

Introductory text for graduate students in physics taking a year-long course in quantum mechanics in which the third quarter is devoted to relativistic wave equations and field theory. Answers to selected problems. 1972 edition.
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Philosophical Foundations of Quantum Field Theory

Author: Harvey R. Brown,Rom Harré

Publisher: Oxford University Press

ISBN: 0198242891

Category: History

Page: 190

View: 5795

A collection of essays by distinguished philosophers in the field. The contributors are: Michael Redhaed, James T. Cushing, Robert Weingard, Rom Harre, Paul Teller, Gordon N. Fleming, Tian-Yu Cao, Ray F. Streater, Simon Saunders.
Posted in History

The Conceptual Framework of Quantum Field Theory

Author: Anthony Duncan

Publisher: Oxford University Press

ISBN: 0199573263

Category: Science

Page: 782

View: 620

The book provides a step by step construction of the framework of relativistic quantum field theory, starting from a minimal set of basic foundational postulates. The emphasis is on a careful and detailed description of the conceptual subtleties of modern field theory, many of which are glossed over in other texts.
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An Introduction to Non-Perturbative Foundations of Quantum Field Theory

Author: Franco Strocchi

Publisher: OUP Oxford

ISBN: 0191651338

Category: Science

Page: 272

View: 5232

Quantum Field Theory (QFT) has proved to be the most useful strategy for the description of elementary particle interactions and as such is regarded as a fundamental part of modern theoretical physics. In most presentations, the emphasis is on the effectiveness of the theory in producing experimentally testable predictions, which at present essentially means Perturbative QFT. However, after more than fifty years of QFT, we still are in the embarrassing situation of not knowing a single non-trivial (even non-realistic) model of QFT in 3+1 dimensions, allowing a non-perturbative control. As a reaction to these consistency problems one may take the position that they are related to our ignorance of the physics of small distances and that QFT is only an effective theory, so that radically new ideas are needed for a consistent quantum theory of relativistic interactions (in 3+1 dimensions). The book starts by discussing the conflict between locality or hyperbolicity and positivity of the energy for relativistic wave equations, which marks the origin of quantum field theory, and the mathematical problems of the perturbative expansion (canonical quantization, interaction picture, non-Fock representation, asymptotic convergence of the series etc.). The general physical principles of positivity of the energy, Poincare' covariance and locality provide a substitute for canonical quantization, qualify the non-perturbative foundation and lead to very relevant results, like the Spin-statistics theorem, TCP symmetry, a substitute for canonical quantization, non-canonical behaviour, the euclidean formulation at the basis of the functional integral approach, the non-perturbative definition of the S-matrix (LSZ, Haag-Ruelle-Buchholz theory). A characteristic feature of gauge field theories is Gauss' law constraint. It is responsible for the conflict between locality of the charged fields and positivity, it yields the superselection of the (unbroken) gauge charges, provides a non-perturbative explanation of the Higgs mechanism in the local gauges, implies the infraparticle structure of the charged particles in QED and the breaking of the Lorentz group in the charged sectors. A non-perturbative proof of the Higgs mechanism is discussed in the Coulomb gauge: the vector bosons corresponding to the broken generators are massive and their two point function dominates the Goldstone spectrum, thus excluding the occurrence of massless Goldstone bosons. The solution of the U(1) problem in QCD, the theta vacuum structure and the inevitable breaking of the chiral symmetry in each theta sector are derived solely from the topology of the gauge group, without relying on the semiclassical instanton approximation.
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Quantum Field Theory of Many-Body Systems

From the Origin of Sound to an Origin of Light and Electrons

Author: Xiao-Gang Wen

Publisher: Oxford University Press on Demand

ISBN: 0198530943

Category: Science

Page: 505

View: 4496

This book is a pedagogical and systematic introduction to new concepts and quantum field theoretical methods in condensed matter physics, which may have an impact on our understanding of the origin of light, electrons and other elementary particles in the universe. Emphasis is on clear physical principles, while at the same time bringing students to the fore of today's research.
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Ontological Aspects of Quantum Field Theory

Author: Meinard Kuhlmann,Holger Lyre,Andrew Wayne

Publisher: World Scientific

ISBN: 9812381821

Category: Science

Page: 362

View: 1513

Quantum field theory (QFT) provides the framework for many fundamental theories in modern physics, and over the last few years there has been growing interest in its historical and philosophical foundations. This anthology on the foundations of QFT brings together 15 essays by well-known researchers in physics, the philosophy of physics, and analytic philosophy.Many of these essays were first presented as papers at the conference ?Ontological Aspects of Quantum Field Theory?, held at the Zentrum fr interdisziplin„re Forschung (ZiF), Bielefeld, Germany. The essays contain cutting-edge work on ontological aspects of QFT, including: the role of measurement and experimental evidence, corpuscular versus field-theoretic interpretations of QFT, the interpretation of gauge symmetry, and localization.This book is ideally suited to anyone with an interest in the foundations of quantum physics, including physicists, philosophers and historians of physics, as well as general readers interested in philosophy or science.
Posted in Science

The Quantum Revolution in Philosophy

Author: Richard Healey

Publisher: Oxford University Press

ISBN: 019871405X

Category: Philosophy

Page: 288

View: 6194

Quantum theory launched a revolution in physics. But we have yet to understand the revolution's significance for philosophy. Richard Healey opens a path to such understanding. Most studies of the conceptual foundations of quantum theory first try to interpret the theory - to say how the world could possibly be the way the theory says it is. But, though fundamental, quantum theory is enormously successful without describing the world in its own terms. When properly applied, models of quantum theory offer good advice on the significance and credibility of claims about the world expressed in other terms. This first philosophical lesson of the quantum revolution dissolves the quantum measurement problem. Pragmatist treatments of probability and causation show how quantum theory may be used to explain the non-localized correlations that have been thought to involve "spooky" instantaneous action at a distance. Given environmental decoherence, a pragmatist inferentialist approach to content shows when talk of quantum probabilities is licensed, resolves any residual worries about whether a quantum measurement has a determinate outcome, and solves a dilemma about the ontology of a quantum field theory. This approach to meaning and reference also reveals the nature and limits of objective description in the light of quantum theory. While these pragmatist approaches to probability, causation, explanation and content may be independently motivated by philosophical argument, their successful application here illustrates their practical importance in helping philosophers come to terms with the quantum revolution.
Posted in Philosophy

Interpreting Quantum Theories

Author: Laura Ruetsche

Publisher: Oxford University Press

ISBN: 019953540X

Category: Philosophy

Page: 379

View: 6733

Philosophers of quantum mechanics have generally addressed exceedingly simple systems. Laura Ruetsche offers a much-needed study of the interpretation of more complicated systems, and an underexplored family of physical theories, such as quantum field theory and quantum statistical mechanics, showing why they repay philosophical attention.
Posted in Philosophy

Quantum Theory and the Flight from Realism

Philosophical Responses to Quantum Mechanics

Author: Christopher Norris

Publisher: Routledge

ISBN: 1134595247

Category: Philosophy

Page: 280

View: 7291

This book is a critical introduction to the long-standing debate concerning the conceptual foundations of quantum mechanics and the problems it has posed for physicists and philosophers from Einstein to the present. Quantum theory has been a major infulence on postmodernism, and presents significant problems for realists. Keeping his own realist position in check, Christopher Norris subjects a wide range of key opponents and supporters of realism to a high and equal level of scrutiny. With a characteristic combination of rigour and intellectual generosity, he draws out the merits and weaknesses from opposing arguments. In a sequence of closely argued chapters, Norris examines the premises of orthodox quantum theory, as developed most influentially by Bohr and Heisenberg, and its impact on varous philosophical developments. These include the ideas developed by W.V Quine, Thomas Kuhn, Michael Dummett, Bas van Fraassen, and Hilary Puttnam. In each case, Norris argues, these thinkers have been influenced by the orthodox construal of quantum mechanics as requiring drastic revision of principles which had hitherto defined the very nature of scientific method, causal explanati and rational enquiry. Putting the case for a realist approach which adheres to well-tried scientific principles of causal reasoning and inference to the best explanation, Christopher Norris clarifies these debates to a non-specialist readership and scholars of philosophy, science studies and the philosophy of science alike. Quantum Theory and the Flight From Realism suggests that philosophical reflection can contribute to a better understanding of these crucial, current issues.
Posted in Philosophy

Quantum Theory from First Principles

An Informational Approach

Author: Giacomo Mauro D'Ariano,Giulio Chiribella,Paolo Perinotti

Publisher: Cambridge University Press

ISBN: 1107043425

Category: Science

Page: 400

View: 6268

Quantum theory is the soul of theoretical physics. It is not just a theory of specific physical systems, but rather a new framework with universal applicability. This book shows how we can reconstruct the theory from six information-theoretical principles, by rebuilding the quantum rules from the bottom up. Step by step, the reader will learn how to master the counterintuitive aspects of the quantum world, and how to efficiently reconstruct quantum information protocols from first principles. Using intuitive graphical notation to represent equations, and with shorter and more efficient derivations, the theory can be understood and assimilated with exceptional ease. Offering a radically new perspective on the field, the book contains an efficient course of quantum theory and quantum information for undergraduates. The book is aimed at researchers, professionals, and students in physics, computer science and philosophy, as well as the curious outsider seeking a deeper understanding of the theory.
Posted in Science

Conceptual Foundations of Quantum Field Theory

Author: Tian Yu Cao

Publisher: Cambridge University Press

ISBN: 9780521602723

Category: Science

Page: 420

View: 1355

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

Statistical Approach to Quantum Field Theory

An Introduction

Author: Andreas Wipf

Publisher: Springer

ISBN: 364233105X

Category: Science

Page: 390

View: 6370

Over the past few decades the powerful methods of statistical physics and Euclidean quantum field theory have moved closer together, with common tools based on the use of path integrals. The interpretation of Euclidean field theories as particular systems of statistical physics has opened up new avenues for understanding strongly coupled quantum systems or quantum field theories at zero or finite temperatures. Accordingly, the first chapters of this book contain a self-contained introduction to path integrals in Euclidean quantum mechanics and statistical mechanics. The resulting high-dimensional integrals can be estimated with the help of Monte Carlo simulations based on Markov processes. The most commonly used algorithms are presented in detail so as to prepare the reader for the use of high-performance computers as an “experimental” tool for this burgeoning field of theoretical physics. Several chapters are then devoted to an introduction to simple lattice field theories and a variety of spin systems with discrete and continuous spins, where the ubiquitous Ising model serves as an ideal guide for introducing the fascinating area of phase transitions. As an alternative to the lattice formulation of quantum field theories, variants of the flexible renormalization group methods are discussed in detail. Since, according to our present-day knowledge, all fundamental interactions in nature are described by gauge theories, the remaining chapters of the book deal with gauge theories without and with matter. This text is based on course-tested notes for graduate students and, as such, its style is essentially pedagogical, requiring only some basics of mathematics, statistical physics, and quantum field theory. Yet it also contains some more sophisticated concepts which may be useful to researchers in the field. Each chapter ends with a number of problems – guiding the reader to a deeper understanding of some of the material presented in the main text – and, in most cases, also features some listings of short, useful computer programs.
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Quantum Field Theory and the Standard Model

Author: Matthew D. Schwartz

Publisher: Cambridge University Press

ISBN: 1107034736

Category: Science

Page: 863

View: 5133

Modern introduction to quantum field theory for graduates, providing intuitive, physical explanations supported by real-world applications and homework problems.
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A Modern Course in Transport Phenomena

Author: David C. Venerus,Hans Christian Öttinger

Publisher: Cambridge University Press

ISBN: 1107129206

Category: Science

Page: 533

View: 3370

Integrating nonequilibrium thermodynamics and kinetic theory, this unique text presents a novel approach to the subject of transport phenomena.
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The Emergent Multiverse

Quantum Theory according to the Everett Interpretation

Author: David Wallace

Publisher: OUP Oxford

ISBN: 0191057398

Category: Science

Page: 548

View: 4944

The Emergent Multiverse presents a striking new account of the 'many worlds' approach to quantum theory. The point of science, it is generally accepted, is to tell us how the world works and what it is like. But quantum theory seems to fail to do this: taken literally as a theory of the world, it seems to make crazy claims: particles are in two places at once; cats are alive and dead at the same time. So physicists and philosophers have often been led either to give up on the idea that quantum theory describes reality, or to modify or augment the theory. The Everett interpretation of quantum mechanics takes the apparent craziness seriously, and asks, 'what would it be like if particles really were in two places at once, if cats really were alive and dead at the same time'? The answer, it turns out, is that if the world were like that—if it were as quantum theory claims—it would be a world that, at the macroscopic level, was constantly branching into copies—hence the more sensationalist name for the Everett interpretation, the 'many worlds theory'. But really, the interpretation is not sensationalist at all: it simply takes quantum theory seriously, literally, as a description of the world. Once dismissed as absurd, it is now accepted by many physicists as the best way to make coherent sense of quantum theory. David Wallace offers a clear and up-to-date survey of work on the Everett interpretation in physics and in philosophy of science, and at the same time provides a self-contained and thoroughly modern account of it—an account which is accessible to readers who have previously studied quantum theory at undergraduate level, and which will shape the future direction of research by leading experts in the field.
Posted in Science