Finite Density Algorithm in Lattice QCD -- a Canonical Ensemble Approach

Details Finite Density Algorithm in Lattice QCD -- a Canonical Ensemble Approach Finite Density Algorithm in Lattice QCD -- a Canonical Ensemble Approach

2002-02-26

arxiv.org/abs/hep-lat/0202026v2

Int.J.Mod.Phys. B16 (2002) 2017-2032

Physics

High Energy Physics

High Energy Physics - Lattice

Invited talk at Nankai Symposium on Mathematical Physics, Tianjin, Oct. 2001, 18 pages, 3 figures; expanded and references add

Scientific paper

10.1142/S0217979202011755

I will review the finite density algorithm for lattice QCD based on finite chemical potential and summarize the associated difficulties. I will propose a canonical ensemble approach which projects out the finite baryon number sector from the fermion determinant. For this algorithm to work, it requires an efficient method for calculating the fermion determinant and a Monte Carlo algorithm which accommodates unbiased estimate of the probability. I shall report on the progress made along this direction with the Pad\'{e} - Z$_2$ estimator of the determinant and its implementation in the newly developed Noisy Monte Carlo algorithm.

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