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 $Tr\log$ 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 $Tr\log$ 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.

Talk given at `Third International Workshop on QCD and Numerical Analysis', Edinburgh, June 2003