Bulk viscosity of rotating, hot and dense spin 1/2 fermionic systems from correlation functions

TL;DR

This paper calculates the bulk viscosity of rotating, hot, dense fermionic systems using correlation functions within the Kubo formalism, considering effects of large angular velocities and multiple energy scales.

Contribution

It presents a one-loop calculation of bulk viscosity in rotating fermionic systems using curved space formalism and thermal field theory, incorporating high angular velocities.

Findings

Bulk viscosity varies with angular velocity, temperature, and chemical potential.

The spectral function of energy-momentum tensors is computed in curved space.

Results are relevant for systems with large angular velocities, from 0.1 to 1.0 GeV.

Abstract

In this work we have presented the one-loop calculation of the bulk viscosity of a system of rotating, hot and dense spin 1/2 fermions within the framework of Kubo formalism calculated from correlation functions of fields which in turn is used to calculate the spectral function of energy-momentum tensors. The calculation has been done in curved space by the help of tetrad formalism, where the the gamma matrices in this set-up assume their generic structure by becoming space dependent. The techniques of thermal field theory have been employed which take into account the three energy scales viz. temperature, chemical potential and angular velocity into account in the Matsubara frequency summation. The study has been performed in the ambience of very large angular velocities, ranging from 0.1 to 1.0 GeV. The fermion propagator used in this work is appropiate for the regime of large angular velocities. We explore the behaviour of bulk viscosity with angular velocity, temperature and chemical potential through our plots.