mathematics of quantization and quantum fields cambridge monographs on mathematical physics

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Mathematics Of Quantization And Quantum Fields

Author : Jan Dereziński
ISBN : 9781107011113
Genre : Science
File Size : 63. 46 MB
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A unique and definitive review of mathematical aspects of quantization and quantum field theory for graduate students and researchers.

Asymptotic Analysis In General Relativity

Author : Thierry Daudé
ISBN : 9781108500784
Genre : Science
File Size : 60. 17 MB
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This volume compiles notes from four mini courses given at the summer school on asymptotic analysis in general relativity, held at the Institut Fourier in Grenoble, France. It contains an up-to-date panorama of modern techniques in the asymptotic analysis of classical and quantum fields in general relativity. Accessible to graduate students, these notes gather results that were not previously available in textbooks or monographs and will be of wider interest to researchers in general relativity. The topics of these mini courses are: the geometry of black hole spacetimes; an introduction to quantum field theory on curved spacetimes; conformal geometry and tractor calculus; and microlocal analysis for wave propagation.

Quantum Field Theory In Curved Spacetime

Author : Leonard Parker
ISBN : 9780521877879
Genre : Science
File Size : 33. 13 MB
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Suitable for graduate students, this book develops quantum field theory in curved spacetime in a pedagogical style.

Advances In Algebraic Quantum Field Theory

Author : Romeo Brunetti
ISBN : 9783319213538
Genre : Science
File Size : 59. 81 MB
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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.

Topology Geometry And Quantum Field Theory

Author : Graeme Segal
ISBN : 0521540496
Genre : Mathematics
File Size : 78. 35 MB
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The symposium held in honour of the 60th birthday of Graeme Segal brought together leading physicists and mathematicians. Its topics were centred around string theory, M-theory, and quantum gravity on the one hand, and K-theory, elliptic cohomology, quantum cohomology and string topology on the other. Geometry and quantum physics developed in parallel since the recognition of the central role of non-abelian gauge theory in elementary particle physics in the late seventies and the emerging study of super-symmetry and string theory. With its selection of survey and research articles these proceedings fulfil the dual role of reporting on developments in the field and defining directions for future research. For the first time Graeme Segal's manuscript 'The definition of Conformal Field Theory' is published, which has been greatly influential over more than ten years. An introduction by the author puts it into the present context.

Quantum Gravity

Author : Carlo Rovelli
ISBN : 0521837332
Genre : Science
File Size : 74. 29 MB
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Quantum gravity is one of the major "open" problems in theoretical physics, and the loop and spinfoam approach in this book is a major research area in the field. Emphasizing conceptual and foundational issues raised by quantum gravity, especially on the nature of space and time, the text is intended for researchers working in quantum gravity and graduate students.

A Primer On String Theory

Author : Volker Schomerus
ISBN : 9781107160019
Genre : Science
File Size : 53. 51 MB
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Since its conception in the 1960s, string theory has been hailed as one of the most promising routes we have to unify quantum mechanics and general relativity. This book provides a concise introduction to string theory explaining central concepts, mathematical tools and covering recent developments in physics including compactifications and gauge/string dualities. With string theory being a multidisciplinary field interfacing with high energy physics, mathematics and quantum field theory, this book is ideal for both students with no previous knowledge of the field and scholars from other disciplines who are looking for an introduction to basic concepts.

Hamiltonian Systems

Author : Alfredo M. Ozorio de Almeida
ISBN : 0521386705
Genre : Science
File Size : 56. 22 MB
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Hamiltonian Systems outlines the main results in the field, and considers the implications for quantum mechanics.

Mathematische Grundlagen Der Quantenmechanik

Author : Johann v. Neumann
ISBN : 9783642960482
Genre : Science
File Size : 56. 50 MB
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Gauge Field Theories

Author : Stefan Pokorski
ISBN : 0521478162
Genre : Science
File Size : 48. 41 MB
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An expanded and up-dated book examining gauge theories and their symmetries.

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