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arXiv · hep-ph/9812305

Cooper pairing at large N in a 2-dimensional model

Alan Chodos·Hisakazu Minakata·Fred Cooper
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Abstract

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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Alan Chodos, Hisakazu Minakata, Fred Cooper. 1998-12-09. Cooper pairing at large N in a 2-dimensional model. https://doi.org/10.1016/s0370-2693(99)00084-2

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