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A Finite Baryon Density Algorithm

Keh-Fei Liu
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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.

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Keh-Fei Liu. 2003-12-17. A Finite Baryon Density Algorithm. https://arxiv.org/abs/hep-lat/0312027

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