Diquark condensation at nonzero chemical potential and temperature

SU(2) lattice gauge theory with four flavors of quarks is studied at nonzero chemical potential μ and temperature T by computer simulation and Effective Lagrangian techniques. Simulations are done on 84, 83×4 and 123×6 lattices and the diquark condensate, chiral order parameter, Wilson line, fermion energy and number densities are measured. Simulations at a fixed, nonzero quark mass provide evidence for a tricritical point in the μ–T plane associated with diquark condensation. For low T, increasing μ takes the system through a line of second order phase transitions to a diquark condensed phase. Increasing T at high μ, the system passes through a line of first order transitions from the diquark phase to the quark–gluon plasma phase. Using Effective Lagrangians we estimate the position of the tricritical point and ascribe its existence to trilinear couplings that increase with μ and T.