Transport coefficients in a finite volume Polyakov--Nambu--Jona-Lasinio model
Abstract
Finite size consideration of matter significantly affects transport coefficients like shear viscosity, bulk viscosity, electrical conductivity, which we have investigated here in the framework of the Polyakov-Nambu-Jona-Lasinio model. Owing to the basic quantum mechanics, a non-zero lower momentum cut-off is implemented in momentum integrations, used in the expressions of constituent quark masses and transport coefficients. When the system size decreases, the values of these trans- port coefficients are enhanced in low temperature range. At high temperature domain, shear viscos- ity and electrical conductivity become independent of system sizes. Whereas, bulk viscosity, which is associated with scale violating quantities of the system, faces some non-trivial size dependence in this regime. In the phenomenological direction, our microscopic estimations can also be linked with the macroscopic outcome, based on dissipative hydrodynamical simulation.
Keywords
Cite
@article{arxiv.1711.10169,
title = {Transport coefficients in a finite volume Polyakov--Nambu--Jona-Lasinio model},
author = {Kinkar Saha and Sabyasachi Ghosh and Sudipa Upadhaya and Soumitra Maity},
journal= {arXiv preprint arXiv:1711.10169},
year = {2018}
}