Non-Commutativity of the Zero Chemical Potential Limit and the Thermodynamic Limit in Finite Density Systems

Details Non-Commutativity of the Zero Chemical Potential Limit and the Thermodynamic Limit in Finite Density Systems Non-Commutativity of the Zero Chemical Potential Limit and the Thermodynamic Limit in Finite Density Systems

2004-02-25

arxiv.org/abs/hep-lat/0402031v1

Phys.Rev. D70 (2004) 035010

Physics

High Energy Physics

High Energy Physics - Lattice

7 pages, 9 figures

Scientific paper

10.1103/PhysRevD.70.035010

Monte Carlo simulations of finite density systems are often plagued by the complex action problem. We point out that there exists certain non-commutativity in the zero chemical potential limit and the thermodynamic limit when one tries to study such systems by reweighting techniques. This is demonstrated by explicit calculations in a Random Matrix Theory, which is thought to be a simple qualitative model for finite density QCD. The factorization method allows us to understand how the non-commutativity, which appears at the intermediate steps, cancels in the end results for physical observables.

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