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On the Perturbative Nature of Color Superconductivity
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On the Perturbative Nature of Color Superconductivity
abstract
Color superconductivity is a possible phase of high density QCD. We present a systematic derivation of the transition temperature, T_C, from the QCD Lagrangian through study of the di-quark proper vertex. With this approach, we confirm the dependence of T_C on the coupling g, namely $T_C \sim \mu g^{-5} e^{-\kappa/g}$, previously obtained from the one-gluon exchange approximation in the superconducting phase. The diagrammatic approach we employ allows us to examine the perturbative expansion of the vertex and the propagators. We find an additional O(1) contribution to the prefactor of the exponential from the one-loop quark self energy and that the other one-loop radiative contributions and the two gluon exchange vertex contribution are subleading.
Forward citations
Cited by 2 Pith papers
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Renormalization group analysis of color superconductivity revisited
An RG treatment with self-energy corrections reproduces the known O(g^0) color-superconducting gap and claims to fix its overall coefficient, implying a factor-two reduction.
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Classification of color superconductivity by one-gluon exchange helicity amplitudes and renormalization group equations
In dense QCD, the most attractive quark pairing channel is classified by helicity amplitudes and renormalization group equations, with a new p-wave (1P1) channel favored for symmetric flavor and attraction found in th...
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