The Ginzburg-Landau theory and the surface energy of a color superconductor

May, 2003
18 pages
Published in:
  • Nucl.Phys.B 669 (2003) 462-478
e-Print:
Report number:
  • RU-03-10-B

Citations per year

2003200820132018202302468
Abstract:
We apply the Ginzburg-Landau theory to the colour superconducting phase of a lump of dense quark matter. We calculate the surface energy of a domain wall separating the normal phase from the super phase with the bulk equilibrium maintained by a critical external magnetic field. Because of the symmetry of the problem, we are able to simplify the Ginzburg-Landau equations and express them in terms of two components of the di-quark condensate and one component of the gauge potential. The equations also contain two dimensionless parameters: the Ginzburg-Landau parameter κ{\kappa} and ρ{\rho}. The main result of this paper is a set of inequalities obeyed by the critical value of the Ginzburg-Landau parameter--the value of κ{\kappa} for which the surface energy changes sign--and its derivative with respect to ρ{\rho}. In addition we prove a number of inequalities of the functional dependence of the surface energy on the parameters of the problem and obtain a numerical solution of the Ginzburg-Landau equations. Finally a criterion for the types of colour superconductivity (type I or type II) is established in the weak coupling approximation.
  • Landau-Ginzburg model
  • color: superconductivity
  • quark: matter
  • energy: surface
  • domain wall
  • magnetic field: external field
  • diquark: condensation
  • gauge field theory: fluctuation
  • approximation: weak coupling