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      Quantum Field Theory, Effective Potentials and Determinants of Elliptic Operators

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      Date
      2010-04
      Author
      Paul, Percy Louis
      Type
      Thesis
      Degree Level
      Masters
      Metadata
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      Abstract
      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.
      Degree
      Master of Science (M.Sc.)
      Department
      Physics and Engineering Physics
      Program
      Physics and Engineering Physics
      Supervisor
      Steele, Tom
      Committee
      Xiao, C.; Szmigielski, J.; Dick, R.; Tanaka, K.; Pywell, R.
      Copyright Date
      April 2010
      URI
      http://hdl.handle.net/10388/etd-06122010-130956
      Subject
      Quantum Field theory
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      • Graduate Theses and Dissertations
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