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Fundamental Aspects of Asymptotic Safety in Quantum Gravity (Springer Theses)

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en Limba Engleză Carte Hardback – 12 Sep 2019
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.
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Specificații

ISBN-13: 9783030195069
ISBN-10: 3030195066
Pagini: 129
Dimensiuni: 155 x 235 mm
Ediția: 1st ed. 2019
Editura: Springer
Colecția Springer
Seria Springer Theses

Locul publicării: Cham, Switzerland

Cuprins

Introduction.- Solutions to the reconstruction problem.- Background independence in a background dependent RG.- Asymptotic solutions in asymptotic safety.- Outlook.

Textul de pe ultima copertă

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.

Caracteristici

Nominated as an outstanding Ph.D. thesis by the University of Southampton, Southampton, UK

Provides an extensive introduction to the asymptotic safety approach to quantum gravity

Highlights important fundamental issues and explains key advances with clarity

Presents a pedagogical guide to correctly constructing asymptotic solutions to fixed-point equations