Cooper pairing at large N in a 2-dimensional model

Details Cooper pairing at large N in a 2-dimensional model Cooper pairing at large N in a 2-dimensional model

1998-12-09

arxiv.org/abs/hep-ph/9812305v1

Phys.Lett. B449 (1999) 260-266

Physics

High Energy Physics

High Energy Physics - Phenomenology

11 pages, plain TeX, no figures

Scientific paper

10.1016/S0370-2693(99)00084-2

We study a 2-dimensional model of Fermi fields that is closely related to the Gross-Neveu model, and show that to leading order in 1/N a condensate forms. This effect is independent of the chemical potential, a peculiarity that we expect to be specific to 2 dimensions. We also expect the condensate to be unstable against corrections at higher orders in 1/N. We compute the Green's functions associated with the composite psi-psi, and show that the Fermion acquires a Majorana mass proportional to the gap, and that a massless Goldstone pole appears.

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