Shear viscosity of rotating, hot, and dense spin-half fermionic systems from quantum field theory

TL;DR

This paper calculates the shear viscosity of rotating, hot, dense spin-half fermionic systems using quantum field theory, focusing on high angular velocities and the relationship between chemical potential and rotation.

Contribution

It introduces a quantum field theoretical approach to evaluate shear viscosity in rotating fermionic systems at high temperature and density, incorporating curved space formalism.

Findings

Shear viscosity computed for angular velocities 0.1 to 1 GeV

Analysis of the interplay between chemical potential and angular velocity

Application of tetrad formalism in curved space for viscosity calculation

Abstract

In this study, we calculate the shear viscosity for rotating fermions with spin-half under conditions of high temperature and density. We employ the Kubo formalism, rooted in finite-temperature quantum field theory, to compute the field correlation functions essential for this evaluation. The one-loop diagram pertinent to shear viscosity is analyzed within the context of curved space, utilizing tetrad formalism as an effective approach in cylindrical coordinates. Our findings focus on extremely high angular velocities, ranging from 0.1 to 1 GeV, which align with experimental expectations. Furthermore, we explore the inter-relationship between the chemical potential and angular velocity within the scope of this study.