Geometric approaches to quantum field theory / Kieran Finn.

Format:

Book

Author/Creator:

Finn, Kieran, author.

Series:

Springer theses 2190-5061

Springer theses, 2190-5061

Language:

English

Subjects (All):

Quantum field theory--Mathematics.

Quantum field theory.

Geometric quantization.

Genre:

Electronic books.

Physical Description:

1 online resource : illustrations (chiefly color).

Place of Publication:

Cham : Springer, [2021]

System Details:

text file

Summary:

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 ư 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.

Contents:

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.

Notes:

"Doctoral thesis accepted by University of Manchester, Manchester, United Kingdom."

Includes bibliographical references.

Online resource; title from PDF title page (SpringerLink, viewed October 18, 2021).

ISBN:

9783030852696

3030852695

OCLC:

1273969126

Access Restriction:

Restricted for use by site license.