Cooper pairing at large N in a 2-dimensional model
High Energy Physics - Phenomenology
2009-10-31 v1
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 <psi-psi> 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.
Cite
@article{arxiv.hep-ph/9812305,
title = {Cooper pairing at large N in a 2-dimensional model},
author = {Alan Chodos and Hisakazu Minakata and Fred Cooper},
journal= {arXiv preprint arXiv:hep-ph/9812305},
year = {2009}
}
Comments
11 pages, plain TeX, no figures