Perfect Actions with Chemical Potential

Physics – High Energy Physics – High Energy Physics - Lattice

Scientific paper

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10 pages, LaTex, 3 figures

Scientific paper

10.1016/S0370-2693(98)00269-X

We show how to include a chemical potential \mu in perfect lattice actions. It turns out that the standard procedure of multiplying the quark fields \Psi, \bar\Psi at Euclidean time t by \exp(\pm \mu t), respectively, is perfect. As an example, the case of free fermions with chemical potential is worked out explicitly. Even after truncation, cut-off effects in the pressure and the baryon density are small. Using a (quasi-)perfect action, numerical QCD simulations for non-zero chemical potential become more powerful, because coarse lattices are sufficient for extracting continuum physics.

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