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Phys. Rev. D 60, 114033 (1999) [7 pages]

Superconductivity from perturbative one-gluon exchange in high density quark matter

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Thomas Schäfer* and Frank Wilczek
School of Natural Sciences, Institute for Advanced Study, Princeton, New Jersey 08540

Received 8 July 1999; published 12 November 1999

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 Δg-5exp(-c/g) with c=3π2/√2, verifying a recent result by Son. For chemical potentials that are of physical interest, μ<1GeV, the calculation ceases to be reliable quantitatively, but our results suggest that the gap can be as large as 100 MeV.

© 1999 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevD.60.114033
DOI:
10.1103/PhysRevD.60.114033
PACS:
12.38.Aw, 12.38.Bx

*Present address: TRIUMF, 4004 Wesbrook Mall, Vancouver, BC, Canada V6T 2A3. Email address: schaefer@sns.ias.edu

Email address: wilczek@sns.ias.edu