Effective Field Theory for the Crystalline Colour Superconductive Phase of QCD

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  • 29 January 2001
Abstract
We present an effective field theory for high density, low temperature QCD in the crystalline colour superconductive phase (LOFF phase). This interesting phase of QCD is characterized by a gap parameter with a crystalline pattern, breaking traslational and rotational invariance, and could have astrophysical applications. In the effective theory the fermions have a Majorana mass, which, besides colour, breaks SU(2)_{L,R} as well as translation and rotation symmetries. Fermions couple to seven Nambu-Godstone Bosons (NGB) arising from the breaking of rotation and translation invariance (phonon) and SU(2)_{L,R}. Integrating out the fermions leads eventually to an effective lagrangian in terms of the NGB fields only .

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