Solution of the sign problem in the Potts model at fixed fermion number



Alexandru, Andrei, Bergner, Georg, Schaich, David ORCID: 0000-0002-9826-2951 and Wenger, Urs
(2018) Solution of the sign problem in the Potts model at fixed fermion number PHYSICAL REVIEW D, 97 (11). 114503-. ISSN 2470-0010, 2470-0029

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Abstract

We consider the heavy-dense limit of QCD at finite fermion density in the canonical formulation and approximate it by a three-state Potts model. In the strong-coupling limit, the model is free of the sign problem. Away from the strong coupling, the sign problem is solved by employing a cluster algorithm which allows to average each cluster over the Z(3) sectors. Improved estimators for physical quantities can be constructed by taking into account the triality of the clusters, that is, their transformation properties with respect to Z(3) transformations.

Item Type: Article
Additional Information: 28 pages, 8 figures: references added, typos corrected
Uncontrolled Keywords: hep-lat, hep-lat
Depositing User: Symplectic Admin
Date Deposited: 09 Mar 2020 09:09
Last Modified: 16 Jun 2026 11:18
DOI: 10.1103/PhysRevD.97.114503
Related Websites:
URI: https://livrepository.liverpool.ac.uk/id/eprint/3078181
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