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Heat Kernel Techniques And Quantum Gravity


Heat Kernel Techniques And Quantum Gravity
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Heat Kernel And Quantum Gravity


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


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


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.



Heat Kernel And Quantum Gravity


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.



Lectures On Quantum Gravity


Lectures On Quantum Gravity
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Author : Andres Gomberoff
language : en
Publisher: Springer Science & Business Media
Release Date : 2006-05-30

Lectures On Quantum Gravity written by Andres Gomberoff 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 2006-05-30 with Science categories.


The 2002 Pan-American Advanced Studies Institute School on Quantum Gravity was held at the Centro de Estudios Cientificos (CECS),Valdivia, Chile, January 4-14, 2002. The school featured lectures by ten speakers, and was attended by nearly 70 students from over 14 countries. A primary goal was to foster interaction and communication between participants from different cultures, both in the layman’s sense of the term and in terms of approaches to quantum gravity. We hope that the links formed by students and the school will persist throughout their professional lives, continuing to promote interaction and the essential exchange of ideas that drives research forward. This volume contains improved and updated versions of the lectures given at the School. It has been prepared both as a reminder for the participants, and so that these pedagogical introductions can be made available to others who were unable to attend. We expect them to serve students of all ages well.



Quantum Gravity And The Functional Renormalization Group


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.



Asymptotic Formulae In Spectral Geometry


Asymptotic Formulae In Spectral Geometry
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Author : Peter B. Gilkey
language : en
Publisher: CRC Press
Release Date : 2003-12-17

Asymptotic Formulae In Spectral Geometry written by Peter B. Gilkey and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003-12-17 with Mathematics categories.


A great deal of progress has been made recently in the field of asymptotic formulas that arise in the theory of Dirac and Laplace type operators. Asymptotic Formulae in Spectral Geometry collects these results and computations into one book. Written by a leading pioneer in the field, it focuses on the functorial and special cases methods of computing asymptotic heat trace and heat content coefficients in the heat equation. It incorporates the work of many authors into the presentation, and includes a complete bibliography that serves as a roadmap to the literature on the subject. Geometers, mathematical physicists, and analysts alike will undoubtedly find this to be the definitive book on the subject.



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


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.




Quantum Gravity And Spectral Geometry


Quantum Gravity And Spectral Geometry
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Author : Giampiero Esposito
language : en
Publisher:
Release Date : 2002

Quantum Gravity And Spectral Geometry written by Giampiero Esposito and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002 with Kernel functions categories.




Handbook Of Quantum Gravity


Handbook Of Quantum Gravity
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Author : Cosimo Bambi
language : en
Publisher: Springer Nature
Release Date : 2024-12-03

Handbook Of Quantum Gravity written by Cosimo Bambi and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-12-03 with Science categories.


The search for a theory of quantum gravity is one of the most important and fascinating problems in modern theoretical physics. While we do not have yet a complete theory of quantum gravity, significant advancements have been done in the past decades. In this handbook, every section is dedicated to a specific approach towards a theory of quantum gravity and is edited by the leading experts in the field. This book represents both a valuable resource for graduate students and an important reference for researchers in quantum gravity.