Geometric approaches to quantum field theory /

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Bibliographic Details
Author / Creator:Finn, Kieran, author.
Imprint:Cham : Springer, [2021]
©2021
Description:1 online resource : illustrations (chiefly color).
Language:English
Series:Springer theses, 2190-5061
Springer theses.
Subject:
Format: E-Resource Book
URL for this record:http://pi.lib.uchicago.edu/1001/cat/bib/12665292
Hidden Bibliographic Details
ISBN:9783030852696
3030852695
9783030852689
3030852687
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).
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.
Other form:Original 3030852687 9783030852689
Standard no.:10.1007/978-3-030-85269-6