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Fundamental Aspects of Asymptotic Safety in Quantum Gravity

Af: Zoe H. Slade Engelsk Paperback

Fundamental Aspects of Asymptotic Safety in Quantum Gravity

Af: Zoe H. Slade Engelsk Paperback
Tjek vores konkurrenters priser

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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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.

Produktdetaljer
Sprog: Engelsk
Sider: 134
ISBN-13: 9783030195090
Indbinding: Paperback
Udgave:
ISBN-10: 3030195090
Kategori: Gravitation
Udg. Dato: 14 aug 2020
Længde: 0mm
Bredde: 155mm
Højde: 235mm
Forlag: Springer Nature Switzerland AG
Oplagsdato: 14 aug 2020
Forfatter(e): Zoe H. Slade
Forfatter(e) Zoe H. Slade


Kategori Gravitation


ISBN-13 9783030195090


Sprog Engelsk


Indbinding Paperback


Sider 134


Udgave


Længde 0mm


Bredde 155mm


Højde 235mm


Udg. Dato 14 aug 2020


Oplagsdato 14 aug 2020


Forlag Springer Nature Switzerland AG