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.

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

Cited by in corpus (11)

• Phase of the Fermion Determinant at Nonzero Chemical Potential
• The QCD Sign Problem for Small Chemical Potential
• Properties of hadron screening masses at small baryonic density
• The Approach to the Thermodynamic Limit in Lattice QCD at μ\neq0
• QCD in One Dimension at Nonzero Chemical Potential
• Sign problem and phase quenching in finite-density QCD: models, holography, and lattice
• A study of the sign problem for lattice QCD with chemical potential
• On the phase of quark determinant in lattice QCD with finite chemical potential
• Finite size scaling study of $N_{\text{f}}=4$ finite density QCD on the lattice
• Large-N spacetime reduction and the sign and silver-blaze problems of dense QCD
• Hadronic property at finite density