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Geometric approaches to quantum fiel...

Finn, Kieran.

Geometric approaches to quantum field theory

Record Type:	Electronic resources : Monograph/item
Title/Author:	Geometric approaches to quantum field theoryby Kieran Finn.
Author:	Finn, Kieran.
Published:	Cham :Springer International Publishing :2021.
Description:	xix, 202 p. :ill. (chiefly col.), digital ;24 cm.
Contained By:	Springer Nature eBook
Subject:	Quantum field theoryMathematics.
Online resource:	https://doi.org/10.1007/978-3-030-85269-6
ISBN:	9783030852696$q(electronic bk.)

Geometric approaches to quantum field theory
Finn, Kieran.

Geometric approaches to quantum field theory[electronic resource] /by Kieran Finn. - Cham :Springer International Publishing :2021. - xix, 202 p. :ill. (chiefly col.), digital ;24 cm. - Springer theses,2190-5061. - Springer theses..

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$q(electronic bk.)

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

208111
Quantum field theory
--Mathematics.

LC Class. No.: QC174.45 / .F56 2021

Dewey Class. No.: 530.143

Geometric approaches to quantum field theory
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245 1 0 $a Geometric approaches to quantum field theory $h [electronic resource] / $c by Kieran Finn.
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505 0 $a 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.
520 $a 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.
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650 1 4 $a Elementary Particles, Quantum Field Theory. $3 274994
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