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Approaches to the sign problem in lattice field theory

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arxiv 1603.09517 v1 pith:6Z5BSNL5 submitted 2016-03-31 hep-lat

Approaches to the sign problem in lattice field theory

classification hep-lat
keywords problemfieldsigncomplexlatticetheoriesyearsaction
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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Quantum field theories (QFTs) at finite densities of matter generically involve complex actions. Standard Monte-Carlo simulations based upon importance sampling, which have been producing quantitative first principle results in particle physics for almost fourty years, cannot be applied in this case. Various strategies to overcome this so-called Sign Problem or Complex Action Problem were proposed during the last thirty years. We here review the sign problem in lattice field theories, focussing on two more recent methods: Dualization to world-line type of representations and the density-of-states approach.

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Cited by 5 Pith papers

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