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The Factorization Method for Simulating Systems With a Complex Action

Jan Ambjorn·Konstantinos N. Anagnostopoulos·Jun Nishimura·Jacobus J. M. Verbaarschot
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Abstract

We propose a method for Monte Carlo simulations of systems with a complex action. The method has the advantages of being in principle applicable to any such system and provides a solution to the overlap problem. We apply it in random matrix theory of finite density QCD where we compare with analytic results. In this model we find non--commutativity of the limits $μ\to 0$ and $N\to\infty$ which could be of relevance in QCD at finite density.

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Jan Ambjorn, Konstantinos N. Anagnostopoulos, Jun Nishimura, Jacobus J. M. Verbaarschot. 2003-10-02. The Factorization Method for Simulating Systems With a Complex Action. https://doi.org/10.1142/9789812702845_0030

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