Analytic continuation of the critical line: suggestions for QCD

Abstract

We perform a numerical study of the systematic effects involved in the determination of the critical line at real baryonic chemical potential by analytic continuation from results obtained at imaginary chemical potentials. We present results obtained in theories free of the sign problem, such as two-color QCD with finite baryonic density and three-color QCD with finite isospin chemical potential, and comment on general features which could be relevant also to the continuation of the critical line in real QCD at finite baryonic density.

12 pages, 13 figures, 7 tables (revised version accepted by Phys. Rev. D80, 034501(2009))

References in corpus (4)

• The chiral critical point of Nf=3 QCD at finite density to the order (mu/T)^4
• The strongly interacting Quark Gluon Plasma, and the critical behaviour of QCD at imaginary chemical potential
• The critical line from imaginary to real baryonic chemical potentials in two-color QCD
• Imaginary chemical potentials and the phase of the fermionic determinant