Topology of two-color QCD at low temperature and high density

Abstract

The chemical potential ($\mu$) dependence of the topological susceptibility with two-color two-flavor QCD is studied. We find that at temperature $T\approx T_c/2$, where $T_c$ denotes the critical temperature at zero chemical potential, the topological susceptibility is almost constant throughout $0\le a\mu \lesssim 1.0$, while at $T\approx T_c$, it decreases significantly from the $\mu =0$ value in a high $\mu$ regime. In this work, we perform the simulation for $\mu /T\le 16$, which covers even the low temperature and the high chemical potential regime. In this regime, we introduce a diquark source term, which is characterized by $j$, into the action. We also show our results for the phase diagram in a low temperature regime ($T\approx T_c/2$), which is obtained after taking the $j\to 0$ limit of the diquark condensate and the Polyakov loop.

Comments: 7 pages, 5 figures, Proceedings of the 36th Annual International Symposium on Lattice Field Theory, 22-28 July 2018, East Lansing, Michigan, USA, (v2) a reference is changed, (v3) published version