Functional Integral Method in the Theory of Color Superconductivity

Details Functional Integral Method in the Theory of Color Superconductivity Functional Integral Method in the Theory of Color Superconductivity

2000-10-16

arxiv.org/abs/hep-ph/0010154v2

Physics

High Energy Physics

High Energy Physics - Phenomenology

9 pages,no figure, LaTex, Invited talk given at the International Conference on Physics at Extreme Energy - Rencontres du Viet

Scientific paper

We propose to study the superconducting pairing of quarks with the formation of the diquarks as well as the quark-antiquark pairing in QCD by means of the functional integral technique. The dynamical equations for the superconducting order parameters are the nonlinear integral equations for the composite quantum fields describing the quark-quark or quark-antiquark systems. These composite fields are the bi-local fields if the pairing is generated by the gluon exchange while for the instanton induced pairing interactions they are the local ones. The expressions of the free energy densities are derived. The binding of three quarks is also discussed.

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