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Geometric Approaches to Quantum Field Theory

Record Type:	Language materials, printed : Monograph/item
Title/Author:	Geometric Approaches to Quantum Field Theory/ by Kieran Finn.
Author:	Finn, Kieran.
Description:	XIX, 202 p. 7 illus., 6 illus. in color.online resource. :
Contained By:	Springer Nature eBook
Subject:	Geometry. -
Online resource:	https://doi.org/10.1007/978-3-030-85269-6
ISBN:	9783030852696

Geometric Approaches to Quantum Field Theory
Finn, Kieran.

Geometric Approaches to Quantum Field Theory[electronic resource] /by Kieran Finn. - 1st ed. 2021. - XIX, 202 p. 7 illus., 6 illus. in color.online resource. - Springer Theses, Recognizing Outstanding Ph.D. Research,2190-5061. - Springer Theses, Recognizing Outstanding Ph.D. Research,.

Introduction -- Field Space Covariance -- Frame Covariance in Quantum Gravity -- Field Space Covariance for Fermionic Theories -- The Eisenhart Lift -- Cosmic Inflation -- Geometric Initial Conditions for Inflation -- Conclusions -- Appendices.

The ancient Greeks believed that everything in the Universe should be describable in terms of geometry. This thesis takes several steps towards realising this goal by introducing geometric descriptions of systems such as quantum gravity, fermionic particles and the origins of the Universe itself. The author extends the applicability of previous work by Vilkovisky, DeWitt and others to include theories with spin ½ and spin 2 degrees of freedom. In addition, he introduces a geometric description of the potential term in a quantum field theory through a process known as the Eisenhart lift. Finally, the methods are applied to the theory of inflation, where they show how geometry can help answer a long-standing question about the initial conditions of the Universe. This publication is aimed at graduate and advanced undergraduate students and provides a pedagogical introduction to the exciting topic of field space covariance and the complete geometrization of quantum field theory.

ISBN: 9783030852696

Standard No.: 10.1007/978-3-030-85269-6doiSubjects--Topical Terms:

579899
Geometry.

LC Class. No.: QC793-793.5

Dewey Class. No.: 539.72

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