Mathematical Foundations of Quantum Field Theory and Perturbative String Theory, Hisham Sati, Urs Schrelber

Автор: Rejzner, Kasia
Название: Perturbative algebraic quantum field theory
ISBN: 3319258990 ISBN-13(EAN): 9783319258997
Издательство: Springer
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Описание: Introduction.- Algebraic approach to quantum theory.- Algebraic quantum mechanics.- Causality.- Haag-Kastler axioms.- pAQFT axioms.- LCQFT.- Kinematical structure.- The space of field configurations.- Functionals on the configuration space.- Fermionic field configurations.- Vector fields.- Functorial interpretation.- Classical theory.- Dynamics.- Natural Lagrangians.- Homological characterization of the solution space.- The net of topological Poisson algabras.- Analogy with classical mechanics.- Deformation quantization.- Star products.- The star product on the space of multivector fields.- Kдhler structure.- Interaction.- Outline of the approach.- Scatering matrix and time ordered products.- Renormalization group.- Interacting local nets.- Explicit construction.- Gauge theories.- Classical gauge theory.- Gauge-fixing.- BV formalism.- Effective quantum gravity.- From LCQFT to quantum gravity.- Dynamics and symmetries.- Linearized theory.- Quantization.- Relational observables.- Background independence.

Автор: Watrous, John (university Of Waterloo, Ontario)
Название: The theory of quantum information
ISBN: 1107180562 ISBN-13(EAN): 9781107180567
Издательство: Cambridge Academ
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Цена: 77090.00 T
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Описание: Intended for graduate students and researchers, this book presents a formal development of the mathematical theory of quantum information. Largely self-contained, with clear proofs and a wide range of exercises, it will help the reader grasp the fundamental facts and techniques that form the mathematical foundations of the subject.

Автор: Strocchi, Franco
Название: An Introduction to Non-Perturbative Foundations of Quantum Field Theory
ISBN: 0198789238 ISBN-13(EAN): 9780198789239
Издательство: Oxford Academ
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Цена: 47510.00 T
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Описание: The book discusses fundamental aspects of Quantum Field Theory and of Gauge theories, with attention to mathematical consistency. Basic issues of the standard model of elementary particles (Higgs mechanism and chiral symmetry breaking in quantum Chromodynamics) are treated without relying on the perturbative expansion and on instanton calculus.

Автор: Peter Millington
Название: Thermal Quantum Field Theory and Perturbative Non-Equilibrium Dynamics
ISBN: 3319011855 ISBN-13(EAN): 9783319011851
Издательство: Springer
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Цена: 130430.00 T
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Описание: This book develops a new perturbative formalism of non-equilibrium thermal quantum field theory for non-homogeneous backgrounds.

Автор: Boris A. Arbuzov
Название: Non-perturbative Effective Interactions in the Standard Model
ISBN: 3110302926 ISBN-13(EAN): 9783110302929
Издательство: Walter de Gruyter
Цена: 173490.00 T
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Описание: This monograph is devoted to the nonperturbative dynamics in the Standard Model (SM), the basic theory of allfundamental interactions in natureexcept gravity. The Standard Model is divided into two parts: the quantum chromodynamics (QCD) and the electro-weak theory (EWT) are well-defined renormalizable theories in which the perturbation theory is valid. However, for the adequate description of the real physics nonperturbative effects are inevitable. This book describes how these nonperturbative effects may be obtained in the framework of spontaneous generation of effective interactions. The well-known example of such effective interaction is provided by the famous Nambu-Jona-Lasinio effective interaction. Also a spontaneous generation of this interaction in the framework of QCD is described and applied to the method for other effective interactions in QCD and EWT. The method is based on N.N. Bogoliubov's conception of compensation equations. As a result we then describe the principal features of the Standard Model, e.g. Higgs sector, and significant nonperturbative effects including recent results obtained at LHC and TEVATRON.

Автор: Othmar Steinmann
Название: Perturbative Quantum Electrodynamics and Axiomatic Field Theory
ISBN: 3642086357 ISBN-13(EAN): 9783642086359
Издательство: Springer
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Цена: 102440.00 T
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Описание: This novel approach is presented for the first time in book form. The author demonstrates that fundamental concepts and methods from phenomenological particle physics can be derived rigorously from well-defined general assumptions in a mathematically clean way.

Автор: Peter Millington
Название: Thermal Quantum Field Theory and Perturbative Non-Equilibrium Dynamics
ISBN: 331937754X ISBN-13(EAN): 9783319377544
Издательство: Springer
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Цена: 95770.00 T
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Описание: This book develops a new perturbative formalism of non-equilibrium thermal quantum field theory for non-homogeneous backgrounds.

Автор: H. Latal; W. Schweiger
Название: Perturbative and Nonperturbative Aspects of Quantum Field Theory
ISBN: 3662141264 ISBN-13(EAN): 9783662141267
Издательство: Springer
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Цена: 104480.00 T
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Описание: Computer simulations and the relations between various approaches to quantum field theory, such as perturbative methods, lattice methods and effective theories, are also discussed.

Автор: Dutsch Michael
Название: From Classical Field Theory to Perturbative Quantum Field Theory
ISBN: 3030047377 ISBN-13(EAN): 9783030047375
Издательство: Springer
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Цена: 121110.00 T
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Описание:

This book develops a novel approach to perturbative quantum field theory: starting with a perturbative formulation of classical field theory, quantization is achieved by means of deformation quantization of the underlying free theory and by applying the principle that as much of the classical structure as possible should be maintained.

The resulting formulation of perturbative quantum field theory is a version of the Epstein-Glaser renormalization that is conceptually clear, mathematically rigorous and pragmatically useful for physicists. The connection to traditional formulations of perturbative quantum field theory is also elaborated on, and the formalism is illustrated in a wealth of examples and exercises.

Автор: Ilya Feranchuk; Alexey Ivanov; Van-Hoang Le; Alexa
Название: Non-perturbative Description of Quantum Systems
ISBN: 3319130056 ISBN-13(EAN): 9783319130057
Издательство: Springer
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Описание: This book introduces systematically the operator method for the solution of the Schrodinger equation. The operator method is unique compared with other non-perturbative methods due to its ability to deliver in zeroth approximation the uniformly suitable estimate for both ground and excited states of quantum system.

Автор: Edoardo Vescovi
Название: Perturbative and Non-perturbative Approaches to String Sigma-Models in AdS/CFT
ISBN: 3319634194 ISBN-13(EAN): 9783319634197
Издательство: Springer
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Цена: 111790.00 T
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Описание: The anti-de Sitter/conformal field theory (AdS/CFT) correspondence realizes physicists` dream of studying strongly coupled quantum field theories with "enhanced" symmetries, using the methods provided by string theory.

Автор: Rivasseau, V
Название: From perturbative to constructive renormalization
ISBN: 0691636826 ISBN-13(EAN): 9780691636825
Издательство: Wiley
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Цена: 167910.00 T
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Описание:

The last decade has seen striking progress in the subject of renormalization in quantum field theory. The old subject of perturbative renormalization has been revived by the use of powerful methods such as multiscale decompositions; precise estimates have been added to the initial theorems on finiteness of renormalized perturbation theory, with new results on its large order asymptotics. Furthermore, constructive field theory has reached one of its major goals, the mathematically rigorous construction of some renormalizable quantum field theories. For these models one can in particular investigate rigorously the phenomenon of asymptotic freedom, which plays a key role in our current understanding of the interaction among elementary particles. However, until this book, there has been no pedagogical synthesis of these new developments. Vincent Rivasseau, who has been actively involved in them, now describes them for a wider audience. There are, in fact, common concepts at the heart of the progress on perturbative and constructive techniques. Exploiting these similarities, the author uses perturbative renormalization, which is the more widely known and conceptually simpler of the two cases, to explain the less familiar but more mathematically meaningful constructive renormalization.

Originally published in 1991.

The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905.