A Finite Baryon Density Algorithm

Abstract

⋆⋆I will review the progress toward a finite baryon density algorithm in the canonical ensemble approach which entails particle number projection from the fermion determinant. These include an efficient Padé-Z 2 stochastic estimator of the T r log of the fermion matrix and a Noisy Monte Carlo update to accommodate unbiased estimate of the probability. Finally, I will propose a Hybrid Noisy Monte Carlo algorithm to reduce the large fluctuation in the estimated T r log due to the gauge field which should improve the acceptance rate. Other application such as treating u and d as two separate flavors is discussed.