Dual condensates at finite isospin chemical potential

Abstract

The dual observables as order parameters for center symmetry are tested at finite isospin chemical potential ${\mu }_I$ in a Polyakov-loop enhanced chiral model of QCD with physical quark masses. As a counterpart of the dressed Polyakov-loop, the first Fourier moment of pion condensate is introduced for ${\mu }_I>m_{\pi }/2$ under the temporal twisted boundary conditions for quarks. We demonstrate that this dual condensate exhibits the similar temperature dependence as the conventional Polyakov-loop. We confirm that its rapid increase with $T$ is driven by the evaporating of pion condensation. On the other hand, the dressed Polyakov-loop shows abnormal thermal behavior, which even decreases with $T$ at low temperatures due to the influence of pion condensate. We thus argue that in QCD the critical temperature extracting from a dual observable may have nothing to do with the quark confinement-deconfinement transition if the quark mass is very small.

8 pages, 6 figures

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Cited by in corpus (6)

• QCD phase diagram for nonzero isospin-asymmetry
• Quark number holonomy and confinement-deconfinement transition
• Magnetic catalysis of a finite size pion condensate
• Roberge-Weiss periodicity, canonical sector and modified Polyakov-loop
• Finite volume and magnetic field effects on the two-pion correlation function in relativistic heavy-ion collisions
• Dual meson condensates in the Polyakov-loop extended linear sigma model