Physics – High Energy Physics – High Energy Physics - Lattice
Scientific paper
2005-11-07
Physics
High Energy Physics
High Energy Physics - Lattice
5 pages, 7 figures. Talk given at Workshop on Extreme QCD, Swansea, Wales, 2-5 Aug 2005
Scientific paper
We study thermal phase transitions of color superconductivity by the lattice simulations of the Ginzburg-Landau (GL) effective theory. The theory is equivalent to the SU_ f(3) cross SU_c(3) Higgs model coupled to SU_c(3) color gauge fields. From the eigenvalues of a 3-by-3 gauge-invariant diquark composite, a clear distinction between the 2-flavor color superconductivity (2SC) and the color flavor locking (CFL) phase is made in a gauge invariant manner. The thermal transitions between the normal phase and the superconducting phases are found to be first-order due to thermal gluons. The phase structure in the coupling-constant space is numerically explored and three patterns of phase transition, i.e., normal to 2SC, normal to CFL and normal to CFL via 2SC, are found in the chiral limit. These results agree qualitatively with the weak-coupling analysis of the GL theory.
Digal Sanatan
Hatsuda Tetsuo
Ohtani Munehisa
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