The sign problem and the Lefschetz thimble

Francesco Di Renzo (Parma U.; INFN; Luigi Scorzato (ECT); Marco Cristoforetti (ECT); Parma)

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arxiv 1210.8026 v1 pith:VPLMLMDH submitted 2012-10-30 hep-lat

The sign problem and the Lefschetz thimble

Marco Cristoforetti (ECT) , Francesco Di Renzo (Parma U. , INFN , Parma) , Luigi Scorzato (ECT) This is my paper

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Recently, we have proposed a novel approach (arxiv:1205.3996) to deal with the sign problem that hinders Monte Carlo simulations of many quantum field theories (QFTs). The approach consists in formulating the QFT on a Lefschetz thimble. In this paper we concentrate on the application to a scalar field theory with a sign problem. In particular, we review the formulation and the justification of the approach, and we also describe the Aurora Monte Carlo algorithm that we are currently testing.

The sign problem and the Lefschetz thimble

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