Speaker
Takahiro Doi
(Japan/Kyoto University)
Description
We discuss the relation between confinement and chiral symmetry breaking
using Dirac-mode expansion in finite-temperature lattice QCD.
The ratios of the real, imaginary and modulus of the Polyakov loop
fluctuations are sensitive probes for quark deconfinement even in the
presence of dynamical quarks [1].
We focus on the correlations of these Polyakov loop fluctuations with
eigenmodes of the lattice Dirac operator. Their analytic relations are
rigorously derived on the temporally odd-number size lattice with a
non-twisted periodic boundary condition for the link-variables [2,3].
We show that the low-lying Dirac modes, which are essential for chiral
symmetry breaking, yield negligible contributions to the Polyakov loop
fluctuations. This property is confirmed in confined and deconfined phases
by numerical simulations in quenched QCD. Our results indicate that there
is no direct, one-to-one correspondence between confinement and chiral
symmetry breaking in the context of different properties of the Polyakov
loop fluctuations and their ratios.
[1] P.M. Lo, B. Friman, O. Kaczmarek, K. Redlich and C. Sasaki,
Phys. Rev. D88, 074502 (2013).
[2] T. M. Doi, H. Suganuma, T. Iritani, Phys. Rev. D90, 094505 (2014).
[3] T. M. Doi, K. Redlich, C. Sasaki, H. Suganuma,
arXiv:1505.05752 [hep-lat].
Primary author
Takahiro Doi
(Japan/Kyoto University)
Co-authors
Chihiro Sasaki
Hideo Suganuma
(Kyoto University)
Krzysztof Redlich
(University of Wroclaw)
