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Symmetry Breaking in ordinary and supersymmetric Models of Quantum Field Theory
Norwegian University of Science and Technology, Faculty of Natural Sciences and Technology, Department of Physics.
2012 (English)MasteroppgaveStudent thesis
Abstract [en]

This thesis will consider two different theories, and apply variational techniques to each, in order to investigate their true ground states and the possibility of symmetry breaking. A scalar field theory is modified by introducing a variational mass-parameter, which also serves as a regularization. The effective potential is calculated to two loops, and a variational calculation is done to find the extrema of the potential. Secondly, the model of Wess and Zumino is modified by removing the re- strictions on the particle masses. The vacuum energy is then calculated to two loops, and a variational calculation is performed with the renormalized masses as parameters, in order to determine the true ground state of the theory. It is discovered that the scalar field theory does not develop any symme- trybreaking groundstates, as was predicted by Coleman and Weinberg. The non-renormalization and vanishing vacuum energy of the Wess-Zumino model is verifed to two-loop order. Furthermore, it is discovered that the modified Wess- Zumino model has several groundstates which are more energetically favoured than the supersymmetric state, in which supersymmetry is strongly broken. This may begin explain, if they exist, why we do not see any supersymmetric partners in our accelerators.

Place, publisher, year, edition, pages
Institutt for fysikk , 2012. , 89 p.
Keyword [no]
ntnudaim:6694, MFY Fysikk,
URN: urn:nbn:no:ntnu:diva-16794Local ID: ntnudaim:6694OAI: diva2:536464
Available from: 2012-06-21 Created: 2012-06-21

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