Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
1998-11-04
Phys.Lett. B448 (1999) 85-92
Physics
High Energy Physics
High Energy Physics - Phenomenology
6 pages, 3 figures, LaTeX and revtex additional references, corrected typos
Scientific paper
10.1016/S0370-2693(99)00030-1
Thermally reduced QCD leads to three dimensional SU(3) gaugefields coupled to an adjoint scalar field $A_0$. We compute the effective potential in the one-loop approximation and evaluate the VEV's of $TrA_0^2$ and $TrA_0^3$. In the Higgs phase not only the former, but also the latter has a VEV. This happens where the SU(3) gauge symmetry is broken minimally with U(2) still unbroken. The VEV of the cubic invariant breaks charge conjugation and CP. It is plausible that in the Higgs phase one has a transition for large enough Higgs selfcoupling to a region where $TrA_0^3$ has no VEV and where the gaugesymmetry is broken maximally to $U(1)\times U(1)$. For a number of colours larger than 3 an even richer phase structure is possible.
Bronoff S.
Korthals Altes Chris P.
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