Phase Fluctuation of Fermion Determinant in Lattice QCD at Finite Density

Abstract

Once the quark chemical potential $\mu$ is introduced in finite density QCD, the fermion determinant appeared in the path integral measure becomes complex. In order to investigate the phase effect of SU(3) lattice QCD (2-flavors), we calculated the fluctuation of the phase of $\det \Delta (\mu )$ on a $8^3\times 4$ lattice at $\mu =0.1$ and 0.2. Then we calculated the chiral condensate and Polyakov line in the no phase and reweighted cases. There is little difference between these two cases at $\mu =0.1$ and 0.2. We consider a possible reason for this result below $\mu \le 0.27$ in terms of $Z_3$ symmetry.

Comments: Oct 2003. 3pp. Talk given at 21st International Symposium on Lattice Field Theory (LATTICE 2003), Tsukuba, Ibaraki, Japan, 15-19 Jul 2003