A Philosophical Approach to Quantum Field Theory

Author: Hans Christian Öttinger
Publisher: Cambridge University Press
ISBN: 9781108415118
Release Date: 2017-12-31
Genre: Science

Approach to quantum field theory -- Scalar field theory -- Quantum electrodynamics -- Perspectives

A Philosophical Approach to Quantum Field Theory

Author: Hans Christian Öttinger
Publisher: Cambridge University Press
ISBN: 9781108246200
Release Date: 2018-01-11
Genre: Science

This text presents an intuitive and robust mathematical image of fundamental particle physics based on a novel approach to quantum field theory, which is guided by four carefully motivated metaphysical postulates. In particular, the book explores a dissipative approach to quantum field theory, which is illustrated for scalar field theory and quantum electrodynamics, and proposes an attractive explanation of the Planck scale in quantum gravity. Offering a radically new perspective on this topic, the book focuses on the conceptual foundations of quantum field theory and ontological questions. It also suggests a new stochastic simulation technique in quantum field theory which is complementary to existing ones. Encouraging rigor in a field containing many mathematical subtleties and pitfalls this text is a helpful companion for students of physics and philosophers interested in quantum field theory, and it allows readers to gain an intuitive rather than a formal understanding.

A Philosophical Approach to Quantum Field Theory

Author: Hans Christian Öttinger
Publisher: Cambridge University Press
ISBN: 9781108244497
Release Date: 2017-12-31
Genre: Science

This text presents an intuitive and robust mathematical image of fundamental particle physics based on a novel approach to quantum field theory, which is guided by four carefully motivated metaphysical postulates. In particular, the book explores a dissipative approach to quantum field theory, which is illustrated for scalar field theory and quantum electrodynamics, and proposes an attractive explanation of the Planck scale in quantum gravity. Offering a radically new perspective on this topic, the book focuses on the conceptual foundations of quantum field theory and ontological questions. It also suggests a new stochastic simulation technique in quantum field theory which is complementary to existing ones. Encouraging rigor in a field containing many mathematical subtleties and pitfalls this text is a helpful companion for students of physics and philosophers interested in quantum field theory, and it allows readers to gain an intuitive rather than a formal understanding.

Philosophical Foundations of Quantum Field Theory

Author: Harvey R. Brown
Publisher: Oxford University Press
ISBN: 9780198242895
Release Date: 1990
Genre: History

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.

The Global Approach to Quantum Field Theory

Author: Bryce Seligman DeWitt
Publisher: Oxford University Press
ISBN: 019852790X
Release Date: 2003-01-01
Genre: Quantum field theory

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.

An Interpretive Introduction to Quantum Field Theory

Author: Paul Teller
Publisher: Princeton University Press
ISBN: 0691016275
Release Date: 1995
Genre: Science

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.

An Invitation to Quantum Field Theory

Author: Luis Alvarez-Gaumé
Publisher: Springer Science & Business Media
ISBN: 9783642237270
Release Date: 2011-11-26
Genre: Science

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.

The Conceptual Framework of Quantum Field Theory

Author: Anthony Duncan
Publisher: Oxford University Press
ISBN: 9780199573264
Release Date: 2012-08-09
Genre: Science

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.

The Philosophy of Quantum Physics

Author: Cord Friebe
Publisher: Springer
ISBN: 9783319783567
Release Date: 2018-06-21
Genre: Science

This book provides a thorough and up-to-date introduction to the philosophy of quantum physics. Although quantum theory is renowned for its spectacular empirical successes, controversial discussion about how it should be understood continue to rage today. In this volume, the authors provide an overview of its numerous philosophical challenges: Do quantum objects violate the principle of causality? Are particles of the same type indistinguishable and therefore not individual entities? Do quantum objects retain their identity over time? How does a compound quantum system relate to its parts? These questions are answered here within different interpretational approaches to quantum theory. Finally, moving to Quantum Field Theory, we find that the problem of non-locality is exacerbated. Philosophy of quantum physics is aimed at philosophers with an interest in physics, while also serving to familiarize physicists with many of the essential philosophical questions of their subject.

A Pedestrian Approach to Quantum Field Theory

Author: Edward G Harris
Publisher: Courier Corporation
ISBN: 9780486793290
Release Date: 2014-03-05
Genre: Science

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.

Ontological Aspects of Quantum Field Theory

Author: Meinard Kuhlmann
Publisher: World Scientific
ISBN: 9789812381828
Release Date: 2002
Genre: Science

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.

Quantum Field Theory

Author: Michio Kaku
Publisher: Oxford University Press on Demand
ISBN: 0195076524
Release Date: 1993
Genre: Science

Provides a comprehensive discussion of the gauge revolution and the theoretical and experimental evidence which makes the Standard Model the leading theory of subatomic phenomena.

Quantum Field Theory of Many Body Systems

Author: Xiao-Gang Wen
Publisher: Oxford University Press on Demand
ISBN: 9780198530947
Release Date: 2004-06-03
Genre: Science

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.

Quantum Theory as an Emergent Phenomenon

Author: Stephen L. Adler
Publisher: Cambridge University Press
ISBN: 1139454099
Release Date: 2004-08-26
Genre: Science

Quantum mechanics is our most successful physical theory. However, it raises conceptual issues that have perplexed physicists and philosophers of science for decades. This 2004 book develops an approach, based on the proposal that quantum theory is not a complete, final theory, but is in fact an emergent phenomenon arising from a deeper level of dynamics. The dynamics at this deeper level are taken to be an extension of classical dynamics to non-commuting matrix variables, with cyclic permutation inside a trace used as the basic calculational tool. With plausible assumptions, quantum theory is shown to emerge as the statistical thermodynamics of this underlying theory, with the canonical commutation/anticommutation relations derived from a generalized equipartition theorem. Brownian motion corrections to this thermodynamics are argued to lead to state vector reduction and to the probabilistic interpretation of quantum theory, making contact with phenomenological proposals for stochastic modifications to Schrödinger dynamics.

An Introduction to Non Perturbative Foundations of Quantum Field Theory

Author: Franco Strocchi
Publisher: OUP Oxford
ISBN: 9780191651335
Release Date: 2013-02-14
Genre: Science

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.