TY - JOUR A1 - Borisenko, Oleg A1 - Chelnokov, Volodymyr A1 - Voloshyn, Sergii A1 - Yefanov, Pavlo T1 - Duals of lattice Abelian models with static determinant at finite density T2 - Physics Letters B N2 - 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. Y1 - 2022 UR - http://publikationen.ub.uni-frankfurt.de/frontdoor/index/index/docId/78421 UR - https://nbn-resolving.org/urn:nbn:de:hebis:30:3-784219 SN - 0370-2693 VL - 827 IS - 137000 PB - Elsevier CY - Amsterdam ER -