The Ginzburg-Landau theory and the surface energy of a color superconductor
May, 200318 pages
Published in:
- Nucl.Phys.B 669 (2003) 462-478
e-Print:
- hep-ph/0305235 [hep-ph]
Report number:
- RU-03-10-B
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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 and . The main result of this paper is a set of inequalities obeyed by the critical value of the Ginzburg-Landau parameter--the value of for which the surface energy changes sign--and its derivative with respect to . 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
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