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Ontological aspects of quantum field theory
Authors: --- ---
ISBN: 9812776443 9789812776440 9789812381828 9812381821 9812381821 Year: 2002 Publisher: River Edge, N.J. World Scientific

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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 für interdisziplinäre Forschung (ZiF), Bielefeld, Germany. The essays contain cutting-edge work


Book
Quantum field theory and beyond : essays in honor of Wolfhart Zimmermann : proceedings of the symposium in honor of Wolfhart Zimmermann's 80th birthday, Ringberg Castle, Tegernsee, Germany, 3-6 February 2008
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ISBN: 9812833552 9789812833556 9789812833549 9812833544 Year: 2008 Publisher: Singapore ; Hackensack, NJ : World Scientific,

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This book contains a collection of essays written in honor of Wolfhart Zimmermann's 80th birthday, most of them based on talks presented at a symposium in his honor.The book shows the unifying force of a subject (Quantum Field Theory) and a person (Zimmermann). It ranges from fundamental questions in quantum physics over applications to particle physics and noncommutative geometry to the latest developments in many body theory and dynamical systems. These key ideas are elucidated by worldwide-recognized experts including Faddeev, Becchi, Buchholz, Lowenstein and Salmhofer.Readers seeking examp


Book
Quantum Computing and Communications
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Year: 2022 Publisher: London : IntechOpen,

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This book explains the concepts and basic mathematics of quantum computing and communication. Chapters cover such topics as quantum algorithms, photonic implementations of discrete-time quantum walks, how to build a quantum computer, and quantum key distribution and teleportation, among others.

Geometric methods for quantum field theory
Authors: --- ---
ISBN: 1281956252 9786611956257 9812810579 9789812810571 9781281956255 9789810243517 9810243510 6611956255 Year: 2001 Publisher: Singapore River Edge, N.J. World Scientific

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Both mathematics and mathematical physics have many active areas of research where the interplay between geometry and quantum field theory has proved extremely fruitful. Duality, gauge field theory, geometric quantization, Seiberg-Witten theory, spectral properties and families of Dirac operators, and the geometry of loop groups offer some striking recent examples of modern topics which stand on the borderline between geometry and analysis on the one hand and quantum field theory on the other, where the physicist's and the mathematician's perspective complement each other, leading to new mathe

Lectures on quantum field theory
Authors: ---
ISBN: 9812832874 9789812832870 9789812832863 9812832866 9789812832856 9812832858 Year: 2008 Publisher: Singapore Hackensack, N.J. World Scientific Pub. Co.

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This book consists of the lectures for a two-semester course on quantum field theory, and as such is presented in a quite informal and personal manner. The course starts with relativistic one-particle systems, and develops the basics of quantum field theory with an analysis of the representations of the Poincaré group. Canonical quantization is carried out for scalar, fermion, Abelian and non-Abelian gauge theories. Covariant quantization of gauge theories is also carried out with a detailed description of the BRST symmetry. The Higgs phenomenon and the standard model of electroweak interactio


Book
Renormalized Perturbation Theory And Its Optimization By The Principle Of Minimal Sensitivity
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Year: 2022 Publisher: Singapore : World Scientific Publishing Company,

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The results of renormalized perturbation theory, in QCD and other quantum field theories, are ambiguous at any finite order, due to renormalization-scheme dependence. The perturbative results depend upon extraneous scheme variables, including the renormalization scale, that the exact result cannot depend on. Such 'non-invariant approximations' occur in many other areas of physics, too. The sensible strategy is to find where the approximant is stationary under small variations of the extraneous variables. This general principle is explained and illustrated with various examples. Also dimensional transmutation, RG equations, the essence of renormalization and the origin of its ambiguities are explained in simple terms, assuming little or no background in quantum field theory. The minimal-sensitivity approach leads to 'optimized perturbation theory,' which is developed in detail. Applications to Re⁺e⁻, the infrared limit, and to the optimization of factorized quantities, are also discussed thoroughly.


Book
Non-perturbative field theory
Authors: ---
ISBN: 1009401653 1009401645 Year: 2023 Publisher: Cambridge : Cambridge University Press,

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Providing a new perspective on quantum field theory, this book gives a pedagogical exposition of non-perturbative methods in relativistic quantum field theory and introduces the reader to modern research in theoretical physics. After describing non-perturbative methods in detail, it uses these methods to explore two-dimensional and four-dimensional gauge dynamics. The book concludes with a summary emphasizing the interplay between two- and four-dimensional gauge theories. Aimed at graduate students and researchers, this book covers topics from two-dimensional conformal symmetry, affine Lie algebras, solitons, integrable models, bosonization, and 't Hooft model, to four-dimensional conformal invariance, integrability, large N expansion, Skyrme model, monopoles and instantons. Applications, first to simple field theories and gauge dynamics in two dimensions, and then to gauge theories in four dimensions and quantum chromodynamics in particular, are thoroughly described. Published originally in 2010, this title has been reissued as an Open Access publication on Cambridge Core.


Book
Instabilities in Field Theory : A Primer with Applications in Modified Gravity
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ISBN: 3031404335 3031404327 Year: 2023 Publisher: Cham, Switzerland : Springer,

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Book
Thermal quantum field theory : algebraic aspects and applications
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ISBN: 1282441272 9786612441271 9812818898 9789812818898 9789812818874 9812818871 Year: 2009 Publisher: New Jersey : World Scientific,

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This monograph presents recent developments in quantum field theory at finite temperature. By using Lie groups, ideas from thermal theory are considered with concepts of symmetry, allowing for applications not only to quantum field theory but also to transport theory, quantum optics and statistical mechanics. This includes an analysis of geometrical and topological aspects of spatially confined systems with applications to the Casimir effect, superconductivity and phase transitions. Finally, some developments in open systems are also considered. The book provides a unified picture of the funda


Book
Classical Covariant Fields
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Year: 2002 Publisher: Cambridge, United Kingdom : Cambridge University Press,

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This 2002 book discusses the classical foundations of field theory, using the language of variational methods and covariance. It is an ideal supplementary text for courses on elementary field theory, group theory and dynamical systems, and a valuable reference for researchers. It has been reissued as an Open Access publication on Cambridge Core.

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