Superconductivity from perturbative one-gluon exchange in high density quark matter
Thomas Schäfer, Frank Wilczek
DOI 10.1103/PhysRevD.60.114033 · Physical Review D
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Abstract
We study color superconductivity in QCD at an asymptotically large chemical potential. In this limit, pairing is dominated by perturbative one-gluon exchange. We derive the Eliashberg equation for the pairing gap and solve this equation numerically. Taking into account both magnetic and electric gluon exchanges, we find Δ∼g−5exp(−c/g) with c=3π2/2, verifying a recent result by Son. For chemical potentials that are of physical interest, μ<1 GeV, the calculation ceases to be reliable quantitatively, but our results suggest that the gap can be as large as 100 MeV.
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