Interpolating the Free Energy Density Differences of Reweighting Methods

Details Interpolating the Free Energy Density Differences of Reweighting Methods Interpolating the Free Energy Density Differences of Reweighting Methods

2003-01-04

arxiv.org/abs/hep-lat/0301001v1

Strong And Electroweak Matter 2002: Proceedings. Edited by Michael G. Schmidt. River Edge, N.J., World Scientific, 2003

Physics

High Energy Physics

High Energy Physics - Lattice

5 pages, 1 figure, contribution to SEWM'02

Scientific paper

A discussion of the overlap problem of reweighting approaches to evaluating critical phenomenon in fermionic systems is motivated by highlighting the divergence of the joint probability density function of a general ratio. By identifying the bounds for which this integral can be expressed in closed form, we establish criteria for accurately mapping the joint ratio distribution of two disjoint ensembles through interpolation. The approach is applied to QCD with four staggered flavours to evaluate the critical line in the $\beta-\mu$ plane.

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