Fundamental Aspects Of Asymptotic Safety In Quantum Gravity

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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.

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.

Fundamental Aspects Of Asymptotic Safety In Quantum Gravity

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Author : Zoë Helen Slade
language : en
Publisher:
Release Date : 2017

Fundamental Aspects Of Asymptotic Safety In Quantum Gravity written by Zoë Helen Slade and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017 with categories.

Fundamental Aspects Of Asymptotic Safety In Quantum Gravity

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Author : Zoe Helen Slade
language : en
Publisher:
Release Date : 2017

Fundamental Aspects Of Asymptotic Safety In Quantum Gravity written by Zoe Helen Slade and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017 with categories.

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.

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.

An Introduction To Covariant Quantum Gravity And Asymptotic Safety

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Author : Roberto Percacci
language : en
Publisher: World Scientific Publishing Company
Release Date : 2017

An Introduction To Covariant Quantum Gravity And Asymptotic Safety written by Roberto Percacci 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 2017 with Functions of complex variables 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.

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.

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.

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.