An Introduction To Covariant Quantum Gravity And Asymptotic Safety
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An Introduction To Covariant Quantum Gravity And Asymptotic Safety
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Author : Percacci Roberto
language : en
Publisher: World Scientific
Release Date : 2017-02-17
An Introduction To Covariant Quantum Gravity And Asymptotic Safety written by Percacci Roberto and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-02-17 with Science categories.
This book covers recent developments in the covariant formulation of quantum gravity. Developed in the 1960s by Feynman and DeWitt, by the 1980s this approach seemed to lead nowhere due to perturbative non-renormalizability. The possibility of non-perturbative renormalizability or "asymptotic safety", originally suggested by Weinberg but largely ignored for two decades, was revived towards the end of the century by technical progress in the field of the renormalization group. It is now a very active field of research, providing an alternative to other approaches to quantum gravity. Written by one of the early contributors to this subject, this book provides a gentle introduction to the relevant ideas and calculational techniques. Several explicit calculations gradually bring the reader close to the current frontier of research. The main difficulties and present lines of development are also outlined.
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.
Fundamental Aspects Of Asymptotic Safety In Quantum Gravity
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Author : Zoë H. Slade
language : en
Publisher: Springer
Release Date : 2019-07-08
Fundamental Aspects Of Asymptotic Safety In Quantum Gravity written by Zoë H. Slade and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-07-08 with Science categories.
After an extensive introduction to the asymptotic safety approach to quantum gravity, this thesis explains recent key advances reported in four influential papers. Firstly, two exact solutions to the reconstruction problem (how to recover a bare action from the effective average action) are provided. Secondly, the fundamental requirement of background independence in quantum gravity is successfully implemented. Working within the derivative expansion of conformally reduced gravity, the notion of compatibility is developed, uncovering the underlying reasons for background dependence generically forbidding fixed points in such models. Thirdly, in order to understand the true nature of fixed-point solutions, one needs to study their asymptotic behaviour. The author carefully explains how to find the asymptotic form of fixed point solutions within the f(R) approximation. Finally, the key findings are summarised and useful extensions of the work are identified. The thesis finishes by considering the need to incorporate matter into the formalism in a compatible way and touches upon potential opportunities to test asymptotic safety in the future.
Asymptotically Safe Gravity
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Author : Alessia Benedetta Platania
language : en
Publisher: Springer
Release Date : 2018-09-20
Asymptotically Safe Gravity written by Alessia Benedetta Platania and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-09-20 with Science categories.
This book seeks to construct a consistent fundamental quantum theory of gravity, which is often considered one of the most challenging open problems in present-day physics. It approaches this challenge using modern functional renormalization group techniques, and attempts to realize the idea of “Asymptotic Safety” originally proposed by S. Weinberg. Quite remarkably, the book makes significant progress regarding both the fundamental aspects of the program and its phenomenological consequences. The conceptual developments pioneer the construction of a well-behaved functional renormalization group equation adapted to spacetimes with a preferred time-direction. It is demonstrated that the Asymptotic Safety mechanism persists in this setting and extends to many phenomenologically interesting gravity-matter systems. These achievements constitute groundbreaking steps towards bridging the gap between quantum gravity in Euclidean and Lorentzian spacetimes.The phenomenological applications cover core topics in quantum gravity, e.g. constructing a phenomenologically viable cosmological evolution based on quantum gravity effects in the very early universe, and analyzing quantum corrections to black holes forming from a spherical collapse.As a key feature, all developments are presented in a comprehensive and accessible way. This makes the work a timely and valuable guide into the rapidly evolving field of Asymptotic Safety.
Fundamental Aspects Of Asymptotic Safety In Quantum Gravity
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Author : Zoèe H. Slade
language : en
Publisher:
Release Date : 2019
Fundamental Aspects Of Asymptotic Safety In Quantum Gravity written by Zoèe H. Slade and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019 with categories.
After an extensive introduction to the asymptotic safety approach to quantum gravity, this thesis explains recent key advances reported in four influential papers. Firstly, two exact solutions to the reconstruction problem (how to recover a bare action from the effective average action) are provided. Secondly, the fundamental requirement of background independence in quantum gravity is successfully implemented. Working within the derivative expansion of conformally reduced gravity, the notion of compatibility is developed, uncovering the underlying reasons for background dependence generically forbidding fixed points in such models. Thirdly, in order to understand the true nature of fixed-point solutions, one needs to study their asymptotic behaviour. The author carefully explains how to find the asymptotic form of fixed point solutions within the f(R) approximation. Finally, the key findings are summarised and useful extensions of the work are identified. The thesis finishes by considering the need to incorporate matter into the formalism in a compatible way and touches upon potential opportunities to test asymptotic safety in the future.
Quantum Gravity
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Author : Domenico J. W. Giulini
language : en
Publisher: Springer Science & Business Media
Release Date : 2003-09-16
Quantum Gravity written by Domenico J. W. Giulini 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 2003-09-16 with Science categories.
The relation between quantum theory and the theory of gravitation remains one of the most outstanding unresolved issues of modern physics. According to general expectation, general relativity as well as quantum (field) theory in a fixed background spacetime cannot be fundamentally correct. Hence there should exist a broader theory comprising both in appropriate limits, i.e., quantum gravity. This book gives readers a comprehensive introduction accessible to interested non-experts to the main issues surrounding the search for quantum gravity. These issues relate to fundamental questions concerning the various formalisms of quantization; specific questions concerning concrete processes, like gravitational collapse or black-hole evaporation; and the all important question concerning the possibility of experimental tests of quantum-gravity effects.
Asymptotic Safety And Black Holes
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Author : Kevin Falls
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-11-26
Asymptotic Safety And Black Holes written by Kevin Falls 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 2013-11-26 with Science categories.
One of the open challenges in fundamental physics is to combine Einstein's theory of general relativity with the principles of quantum mechancis. In this thesis, the question is raised whether metric quantum gravity could be fundamental in the spirit of Steven Weinberg's seminal asymptotic safety conjecture, and if so, what are the consequences for the physics of small, possibly Planck-size black holes? To address the first question, new techniques are provided which allow, for the first time, a self-consistent study of high-order polynomial actions including up to 34 powers in the Ricci scalar. These novel insights are then exploited to explain quantum gravity effects in black holes, including their horizon and causal structure, conformal scaling, evaporation, and the thermodynamics of quantum space-time. Results indicate upper limits on black hole temperature, and the existence of small black holes based on asymptotic safety for gravity and thermodynamical arguments.
Covariant Operator Formalism Of Gauge Theories And Quantum Gravity
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Author : Nakanishi Noboru
language : en
Publisher: World Scientific Publishing Company
Release Date : 1990-11-27
Covariant Operator Formalism Of Gauge Theories And Quantum Gravity written by Nakanishi Noboru and has been published by World Scientific Publishing Company this book supported file pdf, txt, epub, kindle and other format this book has been release on 1990-11-27 with Science categories.
This book provides a thorough description of the manifestly covariant canonical formalism of the abelian and non-abelian gauge theories and quantum gravity. The emphasis is on its non-perturbative nature and the non-use of the path-integral approach. The formalism presented here is extremely beautiful and transparent.
Conversations On Quantum Gravity
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Author : Jácome Armas
language : en
Publisher: Cambridge University Press
Release Date : 2021-08-26
Conversations On Quantum Gravity written by Jácome Armas 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 2021-08-26 with Biography & Autobiography categories.
Leading theorists share their important insights into the ongoing quest of theoretical physics to find a quantum theory of gravity.
Introduction To Quantum Field Theory With Applications To Quantum Gravity
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Author : Iosif L. Buchbinder
language : en
Publisher: Oxford University Press, USA
Release Date : 2021-03
Introduction To Quantum Field Theory With Applications To Quantum Gravity written by Iosif L. Buchbinder and has been published by Oxford University Press, USA this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-03 with Science categories.
This textbook presents a detailed introduction to the general concepts of quantum field theory, with special emphasis on principal aspects of functional methods and renormalization in gauge theories, and includes an introduction to semiclassical and perturbative quantum gravity in flat and curved spacetimes.