ar X iv : h ep - l at / 0 51 10 18 v 1 7 N ov 2 00 5 Study of color superconductivity with Ginzburg - Landau effective action on the lattice ∗
نویسندگان
چکیده
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 SUf(3) × SUc(3) Higgs model coupled to SUc(3) color gauge fields. From the eigenvalues of a 3×3 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→2SC, normal→CFL and normal→2SC→CFL, are found in the chiral limit. These results agree qualitatively with the weakcoupling analysis of the GL theory.
منابع مشابه
ar X iv : h ep - p h / 03 07 12 5 v 2 1 5 Ju l 2 00 3 RU 03 - 02 - B Color Superconductivity in a Dense Quark Matter Hai - cang
The color superconductivity of a dense quark matter is reviewed with emphasis on the long range nature of the pairing force and the multiplicity of the order parameter. The former gives rise to a non BCS behavior of the superconducting energy scale and the latter modifies the critical value of the Ginzburg-Landau parameter that separates the superconductivity of type I and that of type II.
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