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Modifying partition functions: a way to solve the sign problem

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arxiv 1709.05806 v2 pith:ZJWAMVTB submitted 2017-09-18 hep-lat

Modifying partition functions: a way to solve the sign problem

classification hep-lat
keywords originalproblemsigntheorymethodmodifyingpartitionsolve
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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A possible method to solve the sign problem is developed by modifying the original theory. Considering several modifications of the partition function, the observable in the original theory is reconstructed from the identity connecting the observables in the original and modified theories. We demonstrate that our method gives the correct results even if the original theory has the severe sign problem by using a simple 1-dimensional integral.

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    Path optimization improves the average phase factor in the Stephanov model at high chemical potential but not at low chemical potential or in the chiral random matrix model, pointing to the global sign problem as the ...