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Pham F 1983 Proc. Symp. Pure Math
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Atiyah M and Bott R 1983 Phil.Trans.Roy.Soc.Lond
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Knapp A 2002 Lie Groups Beyond an Introduction
Original
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Then

Cristoforetti M, Di Renzo F and Scorzato L (AuroraScience Collaboration) 2012 Phys. Rev. D
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Aarts G 2009 Phys.Rev.Lett
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2012

The sign problem and the Lefschetz thimble

Cristoforetti, Marco, Di Renzo, Francesco, Scorzato, Luigi

Understand

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.