Phase Fluctuation of Fermion Determinant in Lattice QCD at Finite Density

Details Phase Fluctuation of Fermion Determinant in Lattice QCD at Finite Density Phase Fluctuation of Fermion Determinant in Lattice QCD at Finite Density

2003-10-18

arxiv.org/abs/hep-lat/0310046v1

Physics

High Energy Physics

High Energy Physics - Lattice

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

Scientific paper

10.1016/S0920-5632(03)02634-3

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 $8^3\times4$ 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.

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