Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2000-04-07
Phys.Rev. D62 (2000) 085007
Physics
High Energy Physics
High Energy Physics - Phenomenology
21 pages, 3 figures, uses LaTeX2e and ReVTeX, updated figures, made minor text changes
Scientific paper
10.1103/PhysRevD.62.085007
Quark matter at asymptotically high baryon chemical potential is in a color superconducting state characterized by a gap Delta. We demonstrate that although present weak-coupling calculations of Delta are formally correct for mu -> Infinity, the contributions which have to this point been neglected are large enough that present results can only be trusted for mu >> mu_c ~ 10^8 MeV. We make this argument by using the gauge dependence of the present calculation as a diagnostic tool. It is known that the present calculation yields a gauge invariant result for mu -> Infinity; we show, however, that the gauge dependence of this result only begins to decrease for mu > mu_c, and conclude that the result can certainly not be trusted for mu < mu_c. In an appendix, we set up the calculation of the influence of the Meissner effect on the magnitude of the gap. This contribution to Delta is, however, much smaller than the neglected contributions whose absence we detect via the resulting gauge dependence.
Rajagopal Krishna
Shuster Eugene
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