Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2001-08-30
Phys.Rev. D65 (2002) 054017
Physics
High Energy Physics
High Energy Physics - Phenomenology
32 pages, Plain Tex, 3 figures
Scientific paper
10.1103/PhysRevD.65.054017
We derive the Ginzburg-Landau free energy functional of color superconductivity in terms of the thermal diagrams of QCD in its perturbative region. The zero mode of the quadratic term coefficient yields the same transition temperature, including the pre-exponential factor, as the one obtained previously from the Fredholm determinant of the two quark scattering amplitude. All coefficients of the free energy can be made identical to those of a BCS model by setting the Fermi velocity of the latter equal to the speed of light. We also calculate the induced symmetric color condensate near $T_c$ and find that it scales as the cubic power of the dominant antisymmetric color component. We show that in the presence of an inhomogeneity and a nonzero gauge potential, while the color-flavor locked condensate dominates in the bulk, the unlocked condensate, the octet, emerges as a result of a simultaneous color-flavor rotation in the core region of a vortex filament or at the junction of super and normal phases.
Giannakis Ioannis
Ren Hai-cang
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