Fundamental Aspects of Asymptotic Safety in Quantum Gravity

Zoë H. Slade (Autor)

Buch | Hardcover

XIII, 134 Seiten

2019 | 1st ed. 2019
Springer International Publishing (Verlag)
978-3-030-19506-9 (ISBN)

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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.

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

Erscheinungsdatum	19.07.2019
Reihe/Serie	Springer Theses
Zusatzinfo	XIII, 134 p. 17 illus., 4 illus. in color.
Verlagsort	Cham
Sprache	englisch
Maße	155 x 235 mm
Gewicht	391 g
Themenwelt	Naturwissenschaften ► Physik / Astronomie ► Astronomie / Astrophysik
	Naturwissenschaften ► Physik / Astronomie ► Relativitätstheorie
	Naturwissenschaften ► Physik / Astronomie ► Theoretische Physik
Schlagworte	Asymptotic Safety • Conformally Reduced Gravity • Effective Average Action • fixed points • functional renormalization group • Non-perturbative QFT • Quantum Gravity • Renormalization Group • UV Completion • Wilsonian Renormalization
ISBN-10	3-030-19506-6 / 3030195066
ISBN-13	978-3-030-19506-9 / 9783030195069
Zustand	Neuware