Speaker
Zhao Zhang
(NCEPU)
Description
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. 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 confirm this dual condensate exhibits the similar temperature dependence as the
conventional Polyakov-loop. We demonstrate 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.
On behalf of collaboration: | NONE |
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Primary author
Zhao Zhang
(NCEPU)