Perturbative Algebraic Quantum Field Theory: An Introduction for Mathematicians, Rejzner Kasia

Автор: Garrity
Название: Electricity and Magnetism for Mathematicians
ISBN: 1107078202 ISBN-13(EAN): 9781107078208
Издательство: Cambridge Academ
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Цена: 111930.00 T
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Описание: Almost all current descriptions of the fundamental laws of the universe can be viewed as deep generalizations of Maxwell`s equations, which have led to some of the most important mathematical discoveries of the past thirty years. This text introduces some of the mathematical wonders of these equations.

Автор: Zeidler Eberhard
Название: Quantum Field Theory I: Basics in Mathematics and Physics: A Bridge Between Mathematicians and Physicists
ISBN: 3662500949 ISBN-13(EAN): 9783662500941
Издательство: Springer
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Описание: This is the first volume of a modern introduction to quantum field theory which addresses both mathematicians and physicists, at levels ranging from advanced undergraduate students to professional scientists.

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: 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: Othmar Steinmann
Название: Perturbative Quantum Electrodynamics and Axiomatic Field Theory
ISBN: 3642086357 ISBN-13(EAN): 9783642086359
Издательство: Springer
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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: 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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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: Hisham Sati, Urs Schrelber
Название: Mathematical Foundations of Quantum Field Theory and Perturbative String Theory
ISBN: 0821851950 ISBN-13(EAN): 9780821851951
Издательство: Mare Nostrum (Eurospan)
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Цена: 99790.00 T
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Описание: Conceptual progress in fundamental theoretical physics is linked with the search for the suitable mathematical structures that model the physical systems. Quantum field theory (QFT) has proven to be a rich source of ideas for mathematics for a long time. However, fundamental questions such as ``What is a QFT?'' did not have satisfactory mathematical answers, especially on spaces with arbitrary topology, fundamental for the formulation of perturbative string theory. This book contains a collection of papers highlighting the mathematical foundations of QFT and its relevance to perturbative string theory as well as the deep techniques that have been emerging in the last few years. The papers are organised under three main chapters: Foundations for Quantum Field Theory, Quantisation of Field Theories, and Two-Dimensional Quantum Field Theories. An introduction, written by the editors, provides an overview of the main underlying themes that bind together the papers in the volume.

Автор: Yau Shing-Tung, Nadis Steve
Название: The Shape of a Life: One Mathematician`s Search for the Universe`s Hidden Geometry
ISBN: 0300235909 ISBN-13(EAN): 9780300235906
Издательство: Wiley
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Цена: 21120.00 T
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Описание: A Fields medalist recounts his lifelong transnational effort to uncover the geometric shape--the Calabi-Yau manifold--that may store the hidden dimensions of our universe.

"An unexpectedly intimate look into a highly accomplished man, his colleagues and friends, the development of a new field of geometric analysis, and a glimpse into a truly uncommon mind."--Nina MacLaughlin, Boston Globe

"Engaging, eminently readable . . . For those with a taste for elegant and largely jargon-free explanations of mathematics, The Shape of a Life promises hours of rewarding reading."--Judith Goodstein, American Scientist

Harvard geometer and Fields medalist Shing-Tung Yau has provided a mathematical foundation for string theory, offered new insights into black holes, and mathematically demonstrated the stability of our universe. In this autobiography, Yau reflects on his improbable journey to becoming one of the world's most distinguished mathematicians. Beginning with an impoverished childhood in China and Hong Kong, Yau takes readers through his doctoral studies at Berkeley during the height of the Vietnam War protests, his Fields Medal-winning proof of the Calabi conjecture, his return to China, and his pioneering work in geometric analysis. This new branch of geometry, which Yau built up with his friends and colleagues, has paved the way for solutions to several important and previously intransigent problems.

With complicated ideas explained for a broad audience, this book offers readers not only insights into the life of an eminent mathematician, but also an accessible way to understand advanced and highly abstract concepts in mathematics and theoretical physics.

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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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.

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