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Longitudinal gluons and Nambu-Goldstone bosons in a two-flavor color superconductor

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arxiv nucl-th/0205080 v2 pith:DHOWTZHJ submitted 2002-05-30 nucl-th cond-mat.supr-conhep-ph

Longitudinal gluons and Nambu-Goldstone bosons in a two-flavor color superconductor

classification nucl-th cond-mat.supr-conhep-ph
keywords nambu-goldstonecolorexcitationsgaugegluonslongitudinalbrokendensity
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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In a two-flavor color superconductor, the SU(3)_c gauge symmetry is spontaneously broken by diquark condensation. The Nambu-Goldstone excitations of the diquark condensate mix with the gluons associated with the broken generators of the original gauge group. It is shown how one can decouple these modes with a particular choice of 't Hooft gauge. We then explicitly compute the spectral density for transverse and longitudinal gluons of adjoint color 8. The Nambu-Goldstone excitations give rise to a singularity in the real part of the longitudinal gluon self-energy. This leads to a vanishing gluon spectral density for energies and momenta located on the dispersion branch of the Nambu-Goldstone excitations.

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    An RG treatment with self-energy corrections reproduces the known O(g^0) color-superconducting gap and claims to fix its overall coefficient, implying a factor-two reduction.