Abstract
Critical Point and Onset of Deconfinement 2016 and Working Group Meeting of COST Action MP1304
Highlights
Quark confinement and chiral symmetry breaking are important nonperturbative phenomena to understand the rich properties of the QCD vacuum.In spite of their importance, these phenomena and their relations are still not sufficiently understood.In many lattice-QCD calculations at finite temperature both quark deconfinement and chiral restoration occur in the same temperature range [1,2].this result does not necessarily imply that quark confinement and chiral symmetry breaking are strongly correlated, as there are some opposite findings
We introduce the analytical relations connecting the Polyakov loop fluctuations and the Dirac eigenmodes on the lattice
The ratio RA should be insensitive to the density of the low-lying Dirac modes. This analytical observation indicating that there is no direct one-to-one correspondence between quark confinement and chiral symmetry breaking in QCD was confirmed within the numerical calculations in lattice QCD [10]
Summary
Quark confinement and chiral symmetry breaking are important nonperturbative phenomena to understand the rich properties of the QCD vacuum. In spite of their importance, these phenomena and their relations are still not sufficiently understood. In many lattice-QCD calculations at finite temperature both quark deconfinement and chiral restoration occur in the same temperature range [1,2]. This result does not necessarily imply that quark confinement and chiral symmetry breaking are strongly correlated, as there are some opposite findings. As a recent progress, we generalize our argument for the Wilson-type Dirac operator on the lattice in order to remove the fermionic doubler modes
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