Phase structure and phase transitions of the symmetric scalar field theoryA. Patkós1, 2 and Zs. Szép3
1 Department of Atomic Physics, Eötvös University - H-1117 Budapest, Hungary
2 Research Group for Statistical and Biological Physics of the Hungarian Academy of Sciences H-1117 Budapest, Hungary
3 Research Institute for Solid State Physics and Optics of the Hungarian Academy of Sciences H-1525 Budapest, Hungary
received 18 April 2007; accepted in final form 9 July 2007; published September 2007
published online 2 August 2007
Radiatively induced SU(2) symmetry breaking is shown to be a genuine feature of 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 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.
11.10.Wx - Finite-temperature field theory.
11.10.Gh - Renormalization.
12.38.Cy - Summation of perturbation theory .
© Europhysics Letters Association 2007