Phase diagram of 3D SU(3) gaugeadjoint Higgs system and Cviolation in hot QCD
Abstract
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 oneloop 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.
 Publication:

Physics Letters B
 Pub Date:
 February 1999
 DOI:
 10.1016/S03702693(99)000301
 arXiv:
 arXiv:hepph/9811243
 Bibcode:
 1999PhLB..448...85B
 Keywords:

 High Energy Physics  Phenomenology
 EPrint:
 6 pages, 3 figures, LaTeX and revtex additional references, corrected typos