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Phys. Rev. D 65, 074006 (2002) [9 pages]

Mass terms in effective theories of high density quark matter

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T. Schäfer
Department of Physics, SUNY Stony Brook, Stony Brook, New York 11794
Riken-BNL Research Center, Brookhaven National Laboratory, Upton, New York 11973

Received 14 September 2001; published 8 March 2002

We study the structure of mass terms in the effective theory for quasiparticles in QCD at high baryon density. To next-to-leading order in the 1/pF expansion we find two types of mass terms: chirality conserving two-fermion operators and chirality violating four-fermion operators. In the effective chiral theory for Goldstone modes in the color-flavor-locked (CFL) phase the former terms correspond to effective chemical potentials, while the latter lead to Lorentz invariant mass terms. We compute the masses of Goldstone bosons in the CFL phase, confirming earlier results by Son and Stephanov as well as Bedaque and Schäfer. We show that to leading order in the coupling constant g there is no antiparticle gap contribution to the mass of Goldstone modes, and that our results are independent of the choice of gauge.

© 2002 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevD.65.074006
DOI:
10.1103/PhysRevD.65.074006
PACS:
12.38.Lg, 11.15.Ex, 12.39.Fe