Quark Matter 2012

12-18 August 2012
US/Eastern timezone

Extruction of nontrivial correlation between chiral and deconfinement transitions from two-color QCD at imaginary chemical potential

16 Aug 2012, 16:00
2h

Poster Exploring the QCD phase diagram

Speaker

Kouji Kashiwa (RIKEN BNL Research Center)

Description

We investigate the nontrivial correlation between the chiral and deconfinement transition in the two-color QCD. To extract the information, the imaginary chemical potential is taken into account. At $\theta = \pi/2$ where $\theta$ is the imaginary chemical potential divided by the temperature, there is the exact nontrivial center symmetry which is the $Z_2$ symmetry and this symmetry can be spontaneously broken. This behavior is quite different form the three-color QCD because the nontrivial center symmetry is always broken by the quark degree of freedom in the three-color QCD. This means that we can investigate the nontrivial correlation between the chiral and deconfinement transitions in the two-color system clearly than that in the three-color system. Such nontrivial correlation is very important to construct the effective model of QCD and thus we can expect that several important model constraints are obtained from the two-color QCD analysis. In this study, we mainly pay attention to the behavior of the Roberge-Weiss (RW) endpoint which appears at $\theta=\pi/2$ in the tho-color system. We show that the RW endpoint is second-order if the nontrivial correlation is weak, but it turn into first-order when the nontrivial correlation is sufficiently strong.

Primary author

Kouji Kashiwa (RIKEN BNL Research Center)

Co-authors

Prof. Hiroaki KOUNO (Saga University) Prof. Masanobu YAHIRO (Kyushu University) Mr Takahiro SASAKI (Kyushu University)

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