Heat Kernel And Quantum Gravity

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Heat Kernel And Quantum Gravity

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Author : Ivan G. Avramidi
language : en
Publisher: Springer Science & Business Media
Release Date : 2000-03-27

Heat Kernel And Quantum Gravity written by Ivan G. Avramidi and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000-03-27 with Medical categories.

This book tackles quantum gravity via the so-called background field method and its effective action functional. The author presents an explicitly covariant and effective technique to calculate the de Witt coefficients and to analyze the Schwinger-de Wit asymptotic expansion of the effective action. He also investigates the ultraviolet behaviour of higher-derivative quantum gravity. The book addresses theoretical physicists, graduate students as well as researchers, but should also be of interest to physicists working in mathematical or elementary particle physics.

Heat Kernel And Quantum Gravity

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Author : Ivan G. Avramidi
language : en
Publisher: Springer Science & Business Media
Release Date : 2003-07-01

Heat Kernel And Quantum Gravity written by Ivan G. Avramidi and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003-07-01 with Science categories.

This book tackles quantum gravity via the so-called background field method and its effective action functional. The author presents an explicitly covariant and effective technique to calculate the de Witt coefficients and to analyze the Schwinger-de Wit asymptotic expansion of the effective action. He also investigates the ultraviolet behaviour of higher-derivative quantum gravity. The book addresses theoretical physicists, graduate students as well as researchers, but should also be of interest to physicists working in mathematical or elementary particle physics.

Heat Kernel Techniques And Quantum Gravity

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Author : Stephen A. Fulling
language : en
Publisher: Texas A & M University, Department of Mathematics
Release Date : 1995

Heat Kernel Techniques And Quantum Gravity written by Stephen A. Fulling and has been published by Texas A & M University, Department of Mathematics this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995 with Heat equation categories.

Heat Kernel Method And Its Applications

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Author : Ivan Avramidi
language : en
Publisher: Birkhäuser
Release Date : 2015-11-26

Heat Kernel Method And Its Applications written by Ivan Avramidi and has been published by Birkhäuser this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-11-26 with Mathematics categories.

The heart of the book is the development of a short-time asymptotic expansion for the heat kernel. This is explained in detail and explicit examples of some advanced calculations are given. In addition some advanced methods and extensions, including path integrals, jump diffusion and others are presented. The book consists of four parts: Analysis, Geometry, Perturbations and Applications. The first part shortly reviews of some background material and gives an introduction to PDEs. The second part is devoted to a short introduction to various aspects of differential geometry that will be needed later. The third part and heart of the book presents a systematic development of effective methods for various approximation schemes for parabolic differential equations. The last part is devoted to applications in financial mathematics, in particular, stochastic differential equations. Although this book is intended for advanced undergraduate or beginning graduate students in, it should also provide a useful reference for professional physicists, applied mathematicians as well as quantitative analysts with an interest in PDEs.

Quantum Gravity And The Functional Renormalization Group

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Author : Martin Reuter
language : en
Publisher: Cambridge University Press
Release Date : 2019-01-03

Quantum Gravity And The Functional Renormalization Group written by Martin Reuter and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-01-03 with Science categories.

A self-contained pedagogical introduction to asymptotic safety and the functional renormalization group in quantum gravity, for graduate students and researchers.

Heat Kernel On Lie Groups And Maximally Symmetric Spaces

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Author : Ivan G. Avramidi
language : en
Publisher: Springer Nature
Release Date : 2023-05-27

Heat Kernel On Lie Groups And Maximally Symmetric Spaces written by Ivan G. Avramidi and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-05-27 with Mathematics categories.

This monograph studies the heat kernel for the spin-tensor Laplacians on Lie groups and maximally symmetric spaces. It introduces many original ideas, methods, and tools developed by the author and provides a list of all known exact results in explicit form – and derives them – for the heat kernel on spheres and hyperbolic spaces. Part I considers the geometry of simple Lie groups and maximally symmetric spaces in detail, and Part II discusses the calculation of the heat kernel for scalar, spinor, and generic Laplacians on spheres and hyperbolic spaces in various dimensions. This text will be a valuable resource for researchers and graduate students working in various areas of mathematics – such as global analysis, spectral geometry, stochastic processes, and financial mathematics – as well in areas of mathematical and theoretical physics – including quantum field theory, quantum gravity, string theory, and statistical physics.

Quantum Gravity Proceedings Of The Sixth Moscow Quantum Gravity Seminar

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Author : V A Berezin
language : en
Publisher: World Scientific
Release Date : 1998-03-09

Quantum Gravity Proceedings Of The Sixth Moscow Quantum Gravity Seminar written by V A Berezin and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998-03-09 with categories.

The Sixth Moscow Quantum Gravity Seminar was a continuation of the series of seminars which has played an important role in the consolidation of the international quantum gravity community and which has greatly affected the development of the field. As well as papers presented at the conference, this proceedings volume includes the papers of invited speakers who were unable to attend the seminar itself.

Euclidean Quantum Gravity

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Author : G. W. Gibbons
language : en
Publisher: World Scientific
Release Date : 1993

Euclidean Quantum Gravity written by G. W. Gibbons and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993 with Science categories.

The Euclidean approach to Quantum Gravity was initiated almost 15 years ago in an attempt to understand the difficulties raised by the spacetime singularities of classical general relativity which arise in the gravitational collapse of stars to form black holes and the entire universe in the Big Bang. An important motivation was to develop an approach capable of dealing with the nonlinear, non-perturbative aspects of quantum gravity due to topologically non-trivial spacetimes. There are important links with a Riemannian geometry. Since its inception the theory has been applied to a number of important physical problems including the thermodynamic properties of black holes, quantum cosmology and the problem of the cosmological constant. It is currently at the centre of a great deal of interest.This is a collection of survey lectures and reprints of some important lectures on the Euclidean approach to quantum gravity in which one expresses the Feynman path integral as a sum over Riemannian metrics. As well as papers on the basic formalism there are sections on Black Holes, Quantum Cosmology, Wormholes and Gravitational Instantons.

New Paths Towards Quantum Gravity

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Author : Bernhelm Booß-Bavnbek
language : en
Publisher: Springer
Release Date : 2010-07-23

New Paths Towards Quantum Gravity written by Bernhelm Booß-Bavnbek and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-07-23 with Science categories.

Aside from the obvious statement that it should be a theory capable of unifying general relativity and quantum field theory, not much is known about the true nature of quantum gravity. New ideas - and there are many of them for this is an exciting field of research - often diverge to a degree where it seems impossible to decide in which of the many possible direction(s) the ongoing developments should be further sustained. The division of the book in two (overlapping) parts reflects the duality between the physical vision and the mathematical construction. The former is represented by tutorial reviews on non-commutative geometry, on space-time discretization and renormalization and on gauge field path integrals. The latter one by lectures on cohomology, on stochastic geometry and on mathematical tools for the effective action in quantum gravity. The book will benefit everyone working or entering the field of quantum gravity research.

Coarse Graining In Quantum Gravity Bridging The Gap Between Microscopic Models And Spacetime Physics

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Author : Astrid Eichhorn
language : en
Publisher: Frontiers Media SA
Release Date : 2021-07-15

Coarse Graining In Quantum Gravity Bridging The Gap Between Microscopic Models And Spacetime Physics written by Astrid Eichhorn and has been published by Frontiers Media SA this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-07-15 with Science categories.