Lattice Approach to Diquark Condensation in Dense Matter

Abstract

Results are presented of a Monte Carlo simulation of a 2+1 dimensional Gross-Neveu model with SU(2)xSU(2) chiral symmetry at non-zero baryon chemical potential, corresponding to non-zero baryon density. The phenomenon of quark pair condensation is sought via measurement of a two point function. For sufficiently large chemical potential there is a sharp transition between a phase where the chiral symmetry is broken by a standard chiral condensate and one where a scalar diquark condensate, qq, is non-zero. Global U(1) baryon number symmetry may remain unbroken, however, due to the absence of long range order in the phase of qq.