The 3-state Potts model as a heavy quark finite density laboratory

Abstract

The 3-D Z(3) Potts model is a model for finite temperature QCD with heavy quarks. The chemical potential in QCD becomes an external magnetic field in the Potts model. Following Alford et al.\cite{Alford_et_al}, we revisit this mapping, and determine the phase diagram for an arbitrary chemical potential, real or imaginary. Analytic continuation of the phase transition line between real and imaginary chemical potential can be tested with precision. Our results show that the chemical potential weakens the heavy-quark deconfinement transition in QCD.

arXiv comment6 pages and 7 figures. talk presented at Lattice 2005 (non-zero temperature and density)

References in corpus (3)

• Solution of the Complex Action Problem in the Potts Model for Dense QCD
• Real and imaginary chemical potential in 2-color QCD
• Finite Density QCD: a New Approach

Cited by in corpus (12)

• The chiral critical line of N_f=2+1 QCD at zero and non-zero baryon density
• Status of Lattice Studies of the QCD Phase Diagram
• A QCD chiral critical point at small chemical potential: is it there or not?
• Lattice QCD Thermodynamics on the Grid
• The QCD phase diagram at zero and small baryon density
• Status of the QCD phase diagram from lattice calculations
• Persistent homology analysis for dense QCD effective model with heavy quarks
• Solution of the sign problem in the Potts model at fixed fermion number
• Towards the chiral critical surface of QCD
• Generalized Potts-Models and their Relevance for Gauge Theories
• Towards a controlled study of the QCD critical point
• Constraints for the QCD phase diagram from imaginary chemical potential