Advances In Algebraic Quantum Field Theory
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Advances In Algebraic Quantum Field Theory
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Author : Romeo Brunetti
language : en
Publisher: Springer
Release Date : 2015-09-04
Advances In Algebraic Quantum Field Theory written by Romeo Brunetti and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-09-04 with Science categories.
This text focuses on the algebraic formulation of quantum field theory, from the introductory aspects to the applications to concrete problems of physical interest. The book is divided in thematic chapters covering both introductory and more advanced topics. These include the algebraic, perturbative approach to interacting quantum field theories, algebraic quantum field theory on curved spacetimes (from its structural aspects to the applications in cosmology and to the role of quantum spacetimes), algebraic conformal field theory, the Kitaev's quantum double model from the point of view of local quantum physics and constructive aspects in relation to integrable models and deformation techniques. The book is addressed to master and graduate students both in mathematics and in physics, who are interested in learning the structural aspects and the applications of algebraic quantum field theory.
Advances In Algebraic Quantum Field Theory
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Author : Romeo Brunetti
language : en
Publisher:
Release Date : 2015
Advances In Algebraic Quantum Field Theory written by Romeo Brunetti and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015 with categories.
This text focuses on the algebraic formulation of quantum field theory, from the introductory aspects to the applications to concrete problems of physical interest. The book is divided in thematic chapters covering both introductory and more advanced topics. These include the algebraic, perturbative approach to interacting quantum field theories, algebraic quantum field theory on curved spacetimes (from its structural aspects to the applications in cosmology and to the role of quantum spacetimes), algebraic conformal field theory, the Kitaev's quantum double model from the point of view of local quantum physics and constructive aspects in relation to integrable models and deformation techniques. The book is addressed to master and graduate students both in mathematics and in physics, who are interested in learning the structural aspects and the applications of algebraic quantum field theory.
Cosmological Applications Of Algebraic Quantum Field Theory In Curved Spacetimes
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Author : Thomas-Paul Hack
language : en
Publisher: Springer
Release Date : 2015-08-17
Cosmological Applications Of Algebraic Quantum Field Theory In Curved Spacetimes written by Thomas-Paul Hack and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-08-17 with Science categories.
This book provides a largely self-contained and broadly accessible exposition on two cosmological applications of algebraic quantum field theory (QFT) in curved spacetime: a fundamental analysis of the cosmological evolution according to the Standard Model of Cosmology; and a fundamental study of the perturbations in inflation. The two central sections of the book dealing with these applications are preceded by sections providing a pedagogical introduction to the subject. Introductory material on the construction of linear QFTs on general curved spacetimes with and without gauge symmetry in the algebraic approach, physically meaningful quantum states on general curved spacetimes, and the backreaction of quantum fields in curved spacetimes via the semiclassical Einstein equation is also given. The reader should have a basic understanding of General Relativity and QFT on Minkowski spacetime, but no background in QFT on curved spacetimes or the algebraic approach to QFT is required.>
Reality And Measurement In Algebraic Quantum Theory
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Author : Masanao Ozawa
language : en
Publisher: Springer
Release Date : 2018-11-02
Reality And Measurement In Algebraic Quantum Theory written by Masanao Ozawa and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-11-02 with Mathematics categories.
This volume contains papers based on presentations at the “Nagoya Winter Workshop 2015: Reality and Measurement in Algebraic Quantum Theory (NWW 2015)”, held in Nagoya, Japan, in March 2015. The foundations of quantum theory have been a source of mysteries, puzzles, and confusions, and have encouraged innovations in mathematical languages to describe, analyze, and delineate this wonderland. Both ontological and epistemological questions about quantum reality and measurement have been placed in the center of the mysteries explored originally by Bohr, Heisenberg, Einstein, and Schrödinger. This volume describes how those traditional problems are nowadays explored from the most advanced perspectives. It includes new research results in quantum information theory, quantum measurement theory, information thermodynamics, operator algebraic and category theoretical foundations of quantum theory, and the interplay between experimental and theoretical investigations on the uncertainty principle. This book is suitable for a broad audience of mathematicians, theoretical and experimental physicists, and philosophers of science.
Progress And Visions In Quantum Theory In View Of Gravity
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Author : Felix Finster
language : en
Publisher: Springer Nature
Release Date : 2020-04-09
Progress And Visions In Quantum Theory In View Of Gravity written by Felix Finster and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-04-09 with Science categories.
This book focuses on a critical discussion of the status and prospects of current approaches in quantum mechanics and quantum field theory, in particular concerning gravity. It contains a carefully selected cross-section of lectures and discussions at the seventh conference “Progress and Visions in Quantum Theory in View of Gravity” which took place in fall 2018 at the Max Planck Institute for Mathematics in the Sciences in Leipzig. In contrast to usual proceeding volumes, instead of reporting on the most recent technical results, contributors were asked to discuss visions and new ideas in foundational physics, in particular concerning foundations of quantum field theory. A special focus has been put on the question of which physical principles of quantum (field) theory can be considered fundamental in view of gravity. The book is mainly addressed to mathematicians and physicists who are interested in fundamental questions of mathematical physics. It allows the reader to obtain a broad and up-to-date overview of a fascinating active research area.
Fourteenth Marcel Grossmann Meeting The On Recent Developments In Theoretical And Experimental General Relativity Astrophysics And Relativistic Field Theories Proceedings Of The Mg14 Meeting On General Relativity In 4 Parts
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Author : Massimo Bianchi
language : en
Publisher: World Scientific
Release Date : 2017-10-13
Fourteenth Marcel Grossmann Meeting The On Recent Developments In Theoretical And Experimental General Relativity Astrophysics And Relativistic Field Theories Proceedings Of The Mg14 Meeting On General Relativity In 4 Parts written by Massimo Bianchi and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-10-13 with Science categories.
The four volumes of the proceedings of MG14 give a broad view of all aspects of gravitational physics and astrophysics, from mathematical issues to recent observations and experiments. The scientific program of the meeting included 35 morning plenary talks over 6 days, 6 evening popular talks and 100 parallel sessions on 84 topics over 4 afternoons.Volume A contains plenary and review talks ranging from the mathematical foundations of classical and quantum gravitational theories including recent developments in string theory, to precision tests of general relativity including progress towards the detection of gravitational waves, and from supernova cosmology to relativistic astrophysics, including topics such as gamma ray bursts, black hole physics both in our galaxy and in active galactic nuclei in other galaxies, and neutron star, pulsar and white dwarf astrophysics.The remaining volumes include parallel sessions which touch on dark matter, neutrinos, X-ray sources, astrophysical black holes, neutron stars, white dwarfs, binary systems, radiative transfer, accretion disks, quasars, gamma ray bursts, supernovas, alternative gravitational theories, perturbations of collapsed objects, analog models, black hole thermodynamics, numerical relativity, gravitational lensing, large scale structure, observational cosmology, early universe models and cosmic microwave background anisotropies, inhomogeneous cosmology, inflation, global structure, singularities, chaos, Einstein-Maxwell systems, wormholes, exact solutions of Einstein's equations, gravitational waves, gravitational wave detectors and data analysis, precision gravitational measurements, quantum gravity and loop quantum gravity, quantum cosmology, strings and branes, self-gravitating systems, gamma ray astronomy, cosmic rays and the history of general relativity.
Involutive Category Theory
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Author : Donald Yau
language : en
Publisher: Springer Nature
Release Date : 2020-11-30
Involutive Category Theory written by Donald Yau and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-11-30 with Mathematics categories.
This monograph introduces involutive categories and involutive operads, featuring applications to the GNS construction and algebraic quantum field theory. The author adopts an accessible approach for readers seeking an overview of involutive category theory, from the basics to cutting-edge applications. Additionally, the author’s own recent advances in the area are featured, never having appeared previously in the literature. The opening chapters offer an introduction to basic category theory, ideal for readers new to the area. Chapters three through five feature previously unpublished results on coherence and strictification of involutive categories and involutive monoidal categories, showcasing the author’s state-of-the-art research. Chapters on coherence of involutive symmetric monoidal categories, and categorical GNS construction follow. The last chapter covers involutive operads and lays important coherence foundations for applications to algebraic quantum field theory. With detailed explanations and exercises throughout, Involutive Category Theory is suitable for graduate seminars and independent study. Mathematicians and mathematical physicists who use involutive objects will also find this a valuable reference.
From Classical Mechanics To Quantum Field Theory A Tutorial
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Author : Manuel Asorey
language : en
Publisher: World Scientific
Release Date : 2020-01-14
From Classical Mechanics To Quantum Field Theory A Tutorial written by Manuel Asorey and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-01-14 with Science categories.
This book collects an extended version of the lectures delivered by the authors at the Fall Workshop on Geometry and Physics in the years 2014, 2015, 2016.It aims at introducing advanced graduate and PhD students, as well as young researchers, to current research in mathematics and physics. In particular, it fills the gap between the more physical-oriented and the more mathematical-oriented literature on quantum theory. It introduces various approaches to methods of quantization, along with their impact on modern mathematical methods.
From Classical Field Theory To Perturbative Quantum Field Theory
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Author : Michael Dütsch
language : en
Publisher: Springer
Release Date : 2019-03-18
From Classical Field Theory To Perturbative Quantum Field Theory written by Michael Dütsch and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-03-18 with Mathematics categories.
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.
Recent Advances In Field Theory
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Author : P. Binétruy
language : en
Publisher: Elsevier
Release Date : 2016-06-03
Recent Advances In Field Theory written by P. Binétruy and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-06-03 with Science categories.
Recent Advances in Field Theory presents the proceedings of the Fourth Annecy Meeting on Theoretical Physics, held in Annecy-le-Vieux, France, on March 5–9, 1990. This book presents several relevant developments on the subject, including quantum algebra, two-dimensional quantum gravity, and topological quantum theories. Organized into 29 chapters, this book begins with an overview of the Hamiltonian quantization of the topological Chern–Simons theory. This text then examines the conformal affine Liouville model. Other chapters consider the global analyticity properties of functions correlated with causal kernels on de Sitter space. This book discusses as well the three particle models in terms of noncommutative gauge theory, namely, the Peccei-Quinn model, the Glashow–Weinberg–Salam model, and the standard model. The final chapter deals with the development on the construction of lattice integrable models corresponding to the SU (N) coset conformal field theories. This book is a valuable resource for physicists and scientists.