Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2006-06-02
Phys.Rev. D74 (2006) 054009
Physics
High Energy Physics
High Energy Physics - Phenomenology
5 pages, 2 figure, minor revisions, to appear in PRD
Scientific paper
10.1103/PhysRevD.74.054009
Kohn and Luttinger showed that a many body system of fermions interacting via short range forces becomes superfluid even if the interaction is repulsive in all partial waves. In gauge theories such as QCD the interaction between fermions is long range and the assumptions of Kohn and Luttinger are not satisfied. We show that in a U(1) gauge theory the Kohn-Luttinger phenomenon does not take place. In QCD attractive channels always exist, but there are cases in which the primary pairing channel leaves some fermions ungapped. As an example we consider the unpaired fermion in the 2SC phase of QCD with two flavors. We show that it acquires a very small gap via a mechanism analogous to the Kohn-Luttinger effect. The gap is too small to be phenomenologically relevant.
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