Color Superconductivity in a Dense Quark Matter

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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.
Invited talk at the 8th International Wigner Symposium, Baruch College of CUNY, May 27 - May 30, 2003 A reference added was added and some typos were corrected

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