Remarks on the reweighting method in the chemical potential direction

Details Remarks on the reweighting method in the chemical potential direction Remarks on the reweighting method in the chemical potential direction

2002-12-13

arxiv.org/abs/hep-lat/0212022v1

Physics

High Energy Physics

High Energy Physics - Lattice

5pages, 2 figures, Contribution to SEWM 2002 (Heidelberg, 2-5 October 2002)

Scientific paper

We comment on the reweighting method in the chemical potential $(\mu_{\rm q})$ direction. We study the fluctuation of the reweighting factor during Monte-Carlo steps. We find that it is the absolute value of the reweighting factor that mainly contributes to the shift of the phase transition line $(\beta_c)$ by the presence of $\mu_{\rm q}$. The phase fluctuation is a cause of the sign problem, but the effect on $\beta_c$ seems to be small. We also discuss $\beta_c$ for Iso-vector chemical potential and $\beta_c$ determined from simulations with imaginary chemical potential.

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