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Superconductivity from perturbative one gluon exchange in high density quark matter

Jun, 1999

19 pages

Published in:

Phys.Rev.D 60 (1999) 114033

e-Print:

hep-ph/9906512 [hep-ph]

DOI:

10.1103/PhysRevD.60.114033

Report number:

IASSNS-HEP-99-58

View in:

ADS Abstract Service

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Abstract:

We study color superconductivity in QCD at 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

\Delta\sim g^{-5}\exp(-c/g)

with

c=3\pi^2/\sqrt{2}

, verifying a recent result by Son. For chemical potentials that are of physical interest,

\mu< 1

GeV, the calculation ceases to be reliable quantitatively, but our results suggest that the gap can be as large as 100 MeV.

Note:

19 pages, 6 figures. I accidentally replaced the paper with an outdated version. This version has typos corrected and will appear in PRD

quark: matter
matter: density
quantum chromodynamics: perturbation theory
color: superconductivity
potential: chemical
gluon: exchange
energy: gap
numerical calculations

References(14)

Figures(9)

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