Practical approach to the sign problem at finite theta-vacuum angle

Abstract

We investigate a way of circumventing the sign problem in lattice QCD simulations with a theta-vacuum term, using the PNJL model. We consider the reweighting method for the QCD Lagrangian after the U_A(1) transformation. In the Lagrangian, the P-odd mass term as a cause of the sign problem is minimized. In order to find out a good reference system in the reweighting method, we estimate the average reweighting factor by using the two-flavor PNJL model and eventually find a good reference system.

Comments: 6 pages, 7 figures. Accepted for publication in Phys. Rev. D. Substantial text overlap with arXiv:1208.0375