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Duals of lattice Abelian models with static determinant at finite density

  • Dual formulations of Abelian U(1) and Z(N) LGT with a static fermion determinant are constructed at finite temperatures and non-zero chemical potential. The dual form is valid for a broad class of lattice gauge actions, for arbitrary number of fermion flavors and in any dimension. The distinguished feature of the dual formulation is that the dual Boltzmann weight is strictly positive. This allows to gain reliable results at finite density via the Monte-Carlo simulations. As a byproduct of the dual representation we outline an exact solution for the partition function of the (1+1)-dimensional theory and reveal an existence of a phase with oscillating correlations.

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Metadaten
Author:Oleg BorisenkoORCiD, Volodymyr ChelnokovORCiD, Sergii VoloshynORCiD, Pavlo YefanovORCiD
URN:urn:nbn:de:hebis:30:3-784219
DOI:https://doi.org/10.1016/j.physletb.2022.137000
ISSN:0370-2693
Parent Title (English):Physics Letters B
Publisher:Elsevier
Place of publication:Amsterdam
Document Type:Article
Language:English
Date of Publication (online):2022/03/14
Date of first Publication:2022/03/02
Publishing Institution:Universitätsbibliothek Johann Christian Senckenberg
Release Date:2023/10/27
Volume:827
Issue:137000
Article Number:137000
Page Number:5
HeBIS-PPN:517667223
Institutes:Physik
Dewey Decimal Classification:5 Naturwissenschaften und Mathematik / 53 Physik / 530 Physik
Sammlungen:Universitätspublikationen
Licence (German):License LogoCreative Commons - CC BY - Namensnennung 4.0 International