Interquark potential, susceptibilities and particle density of two color QCD at finite chemical potential and temperature

Abstract

We explore the phase diagram of SU(2) Lattice Gauge Theory with dynamical fermions in the temperature, mass, chemical potential space. We observe qualitative changes of the dependence of the particle density on $\mu$ and $T$, which is compatible with that expected of a gas of free massless quarks $n \propto \mu^3$ only for $T \simeq T_c$. At the onset for thermodynamics the interquark potential flattens at large separations, indicating enhanced fermion screening and the transition to a deconfined phase. Temporal and spatial Polyakov loops behave in different ways, the latter being nearly insensitive to the chemical potential. The rotation of the chiral condensate to a baryonic condensate, as inferred from the susceptibilities, might occur together with a reduction of its magnitude in the chiral limit, possibly leading to a critical temperature for diquark condensation smaller than the deconfinement temperature. We further asses the r\^ole of the chemical potential into the gauge dynamics by carrying out a partial quenched calculation. We speculate on the relevance, or lack thereof, of our findings to real QCD.