https://doi.org/10.1051/epjconf/201817512003
Dirac-mode analysis for quark number density and its application for deconfinement transition
1
Theoretical Research Division, Nishina Center, RIKEN, Wako 351-0198, Japan
2
Yukawa Institute for Theoretical Physics, Kyoto University, Kyoto 606-8502, Japan
* Speaker. T.M.D. is supported by the Grantin-Aid for JSPS fellows (No.15J02108) and the RIKEN Special Postdoctoral Researchers Program. e-mail: takahiro.doi.gj@riken.jp
Published online: 26 March 2018
The quark number density at finite imaginary chemical potential is investigated in the lattice QCD using the Dirac-mode expansion. We find the analytical formula of the quark number density in terms of the Polyakov loop in the large quark mass regime. On the other hand, in the small quark mass region, the quark number density is investigated by using the quenched lattice QCD simulation. The quark number density is found to strongly depend on the low-lying Dirac modes while its sign does not change. This result leads to that the quark number holonomy is not sensitive to the low-lying Dirac modes. We discuss the confinement-deconfinement transition from the property of the quark number density and the quark number holonomy.
© The Authors, published by EDP Sciences, 2018
This is an Open Access article distributed under the terms of the Creative Commons Attribution License 4.0, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. (http://creativecommons.org/licenses/by/4.0/).
