Phase structure and phase transitions of the SU(2) x O(N) symmetric scalar field theory

Details Phase structure and phase transitions of the SU(2) x O(N) symmetric scalar field theory Phase structure and phase transitions of the SU(2) x O(N) symmetric scalar field theory

2006-12-11

arxiv.org/abs/hep-th/0612094v3

Europhys.Lett.79:51001,2007

Physics

High Energy Physics

High Energy Physics - Theory

6 pages, 3 figures; the role of the cut-off in the effective theory is discussed, references added; to appear in Europhys. Let

Scientific paper

10.1209/0295-5075/79/51001

Radiatively induced SU(2) symmetry breaking is shown to be a genuine feature of SU(2) x O(N) globally symmetric renormalisable field theories in the large N limit, describing interaction of a complex SU(2) doublet, O(N)-singlet field with an SU(2) singlet, O(N) vector. Symmetry breaking solutions are found even when all fields have positive renormalised squared mass. The emerging novel mechanism of symmetry breaking can reproduce with a choice of N~300 the standard range of the electroweak condensate and the Higgs mass occurring in the extended Higgs dynamics of an SU(2) symmetric Gauge+Higgs model.

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