Duals of lattice Abelian models with static determinant at finite density

Abstract

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.

11 pages, 2 figures

References in corpus (6)

• Flux representation of an effective Polyakov loop model for QCD thermodynamics
• Surface worm algorithm for abelian Gauge-Higgs systems on the lattice
• A new dual representation for staggered lattice QCD
• Dual formulations of Polyakov loop lattice models
• Dual simulation of a Polyakov loop model at finite baryon density: phase diagram and local observables
• Diagrammatic representation of scalar QCD and sign problem at nonzero chemical potential