Lattice QCD at finite density: imaginary chemical potential

Abstract

I describe the results for the critical line and the thermodynamics of different phases of QCD which have been obtained by lattice simulations with an imaginary chemical potential, and review motivations and merits of the different strategies -- Taylor expansion, Fourier analysis and Pade' approximants -- for analytic continuation from imaginary to real chemical potential. I consider phenomenological models which can be easily extended to the complex chemical potential plane, thus affording a direct comparison with lattice data at imaginary $\mu$: the hadronic phase and the high temperature limit are amenable to a simple description, while a rather subtle interplay between thermodynamics and critical behaviour emerges in the hot phase close to $T_c$

20 Pages, 16 Figures; review at "The Critical Point and Onset of Deconfinement", Florence, July 2006

References in corpus (13)

• Thermodynamics of the PNJL model
• Phase structure of lattice QCD with two flavors of Wilson quarks at finite temperature and chemical potential
• QCD Critical Point and Complex Chemical Potential Singularities
• How to get from imaginary to real chemical potential
• Breakdown of staggered fermions at nonzero chemical potential
• QCD at Zero Baryon Density and the Polyakov Loop Paradox
• Lattice QCD at Finite Density
• The canonical approach to Finite Density QCD
• Series representation; Pade' approximants and critical behavior in QCD at nonzero T and $m{u}_B$
• The RHMC algorithm for theories with unknown spectral bounds
• High temperature phase of QCD
• QCD critical point: a historical perspective
• Quasi-particle perspective on critical end-point

Cited by in corpus (1)

• Tidal Deformation and Radial Pulsations of Neutron Star with Holographic Multiquark Core