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 Рейтинг: Цена: 16790.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
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.
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.
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 Рейтинг: Цена: 9781.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
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.
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.
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.
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: H. Latal; W. Schweiger Название: Perturbative and Nonperturbative Aspects of Quantum Field Theory ISBN: 3662141264 ISBN-13(EAN): 9783662141267 Издательство: Springer Рейтинг: Цена: 15672.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
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.
Описание: This book develops a new perturbative formalism of non-equilibrium thermal quantum field theory for non-homogeneous backgrounds.
Автор: Ilya Feranchuk; Alexey Ivanov; Van-Hoang Le; Alexa Название: Non-perturbative Description of Quantum Systems ISBN: 3319130056 ISBN-13(EAN): 9783319130057 Издательство: Springer Рейтинг: Цена: 9781.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
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: Rivasseau V. Название: From Perturbative to Constructive Renormalization ISBN: 0691608350 ISBN-13(EAN): 9780691608358 Издательство: Wiley Рейтинг: Цена: 9821.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
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
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