The strongly interacting Quark Gluon Plasma, and the critical behaviour of QCD at imaginary chemical potential

Abstract

We explore the highly non-perturbative hot region of the QCD phase diagram close to Tc by use of an imaginary chemical potential mu which avoids the sign problem. The number density and the quark number susceptibility are consistent with a critical behaviour associated with the transition line in the negative mu^2 half-plane. We compare the analytic continuation of these results with various phenomenological models, none of which provides a satisfactory description of data, a failure on which we make some comments. These results complement and extend the information obtained via the analysis of the susceptibilities evaluated at zero mu, yielding a simple description of the candidate strongly interacting QGP phase. As a byproduct of our analysis we investigate the Polyakov loop and its hermitian conjugate. Our data offer a vivid evidence of the importance of the complex nature of the functional integral measure, which results in L (mu) ne \bar L(mu) for a real chemical potential.

9 pages, 10 figures; one typo fixed, beta value specified

References in corpus (10)

• The Phase Structure of the Polyakov--Quark-Meson Model
• Susceptibilities near the QCD (tri)critical point
• Phase structure of lattice QCD with two flavors of Wilson quarks at finite temperature and chemical potential
• The pressure of deconfined QCD for all temperatures and quark chemical potentials
• A Model for QCD at High Density and Large Quark Mass
• QCD at Zero Baryon Density and the Polyakov Loop Paradox
• Imaginary chemical potentials and the phase of the fermionic determinant
• Theoretical overview: towards understanding the quark-gluon plasma
• The Sign Problem via Imaginary Chemical Potential
• High temperature phase of QCD

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