English

A BCS Gap on the Lattice

High Energy Physics - Lattice 2009-11-10 v1 High Energy Physics - Phenomenology Nuclear Theory

Abstract

Monte Carlo simulations of the 3+1 dimensional NJL model are performed with baryon chemical potential mu>0. For mu>Sigma_0, the constituent quark mass in vacuum, chiral symmetry is restored and a diquark condensate <qq_+> forms. We analyse the fermion propagator and find evidence for particle-hole mixing in the vicinity of the Fermi surface and an energy gap Delta>0, both of which provide evidence for superfluidity at high baryon density induced by a BCS mechanism. At (mu a)=0.8 the ratio between the BCS gap and the vacuum quark mass is Delta/Sigma_0=0.15(2).

Keywords

Cite

@article{arxiv.hep-lat/0308030,
  title  = {A BCS Gap on the Lattice},
  author = {David N. Walters and Simon Hands},
  journal= {arXiv preprint arXiv:hep-lat/0308030},
  year   = {2009}
}

Comments

3 pages, 3 figures, Lattice2003(nonzero)