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Quantum Field Theory, Effective Potentials and Determinants of Elliptic Operators

The effective potential augments the classical potential with the quantum effects of
virtual particles, and permits the study of spontaneous symmetry breaking.
In contrast to the standard approach where the classical potential already leads to
electroweak symmetry-breaking, the Coleman-Weinberg mechanism explores
quantum corrections as the source of symmetry-breaking.
This thesis explores
extensions of the Coleman -Weinberg mechanism to the situations with more than one Higgs doublet.
These multi-Higgs models have a long history , and occur most naturally in the
Minimal Supersymmetric model.
Mathematical foundations of the zeta function method will be developed and then applied
to regularise the one-loop computation of the effective potentials in a model with two scalar fields.

Identiferoai:union.ndltd.org:USASK/oai:usask.ca:etd-06122010-130956
Date22 June 2010
CreatorsPaul, Percy Louis
ContributorsSteele, Tom, Xiao, C., Szmigielski, J., Dick, R., Tanaka, K., Pywell, R.
PublisherUniversity of Saskatchewan
Source SetsUniversity of Saskatchewan Library
LanguageEnglish
Detected LanguageEnglish
Typetext
Formatapplication/pdf
Sourcehttp://library.usask.ca/theses/available/etd-06122010-130956/
Rightsunrestricted, I hereby certify that, if appropriate, I have obtained and attached hereto a written permission statement from the owner(s) of each third party copyrighted matter to be included in my thesis, dissertation, or project report, allowing distribution as specified below. I certify that the version I submitted is the same as that approved by my advisory committee. I hereby grant to University of Saskatchewan or its agents the non-exclusive license to archive and make accessible, under the conditions specified below, my thesis, dissertation, or project report in whole or in part in all forms of media, now or hereafter known. I retain all other ownership rights to the copyright of the thesis, dissertation or project report. I also retain the right to use in future works (such as articles or books) all or part of this thesis, dissertation, or project report.

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