Abstract
We find a (nonlocal) gauge where the wavefunction renormalization constant does not get any corrections for all momenta in the hard-dense loop approximation. In this gauge, we solve the Schwinger–Dyson equations for the diquark condensate in dense QCD to calculate the Cooper-pair gap. We determine not only the exponent but also the prefactor of the gap in a gauge independent way. We find that the higher order corrections increase the gap only by about 1.6 times to the leading order gap at Coulomb gauge.
Highlights
We find a gauge where the wavefunction renormalization constant does not get any corrections for all momenta in the hard-dense loop approximation
B μ gs5 exp where the 1/gs power in the exponent is due to the long-range interaction in dense quantum chromodynamics (QCD)
The constant c in the exponent is gauge-independent and is determined by the long-range interaction mediated by the magnetic gluons, unscreened at high bar√yon density
Summary
We find a (nonlocal) gauge where the wavefunction renormalization constant does not get any corrections for all momenta in the hard-dense loop approximation. In this paper we determine accurately the contributions to the prefactor, coming from the vertex corrections and the wavefunction renormalization for quarks, since these are the remaining gauge-dependent contributions to the prefactor and, if summed up, we should get a gauge-independent prefactor.
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