General thermodynamic equilibrium with axial chemical potential for the free Dirac field

We calculate the constitutive equations of the stress-energy tensor and the currents of the free massless Dirac field at thermodynamic equilibrium with acceleration and rotation and a conserved axial charge by using the density operator approach. We carry out an expansion in thermal vorticity to the...

Full description

Saved in:
Bibliographic Details
Published in:arXiv.org 2022-02
Main Authors: Buzzegoli, M, Becattini, F
Format: Article
Language:English
Subjects:
Axial stress
Charge density
Chemical potential
Constitutive equations
Constitutive relationships
Correlators
Fluid dynamics
Fluid flow
Hydrodynamics
Mathematical analysis
Organic chemistry
Tensors
Thermal expansion
Thermodynamic equilibrium
Vorticity
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:We calculate the constitutive equations of the stress-energy tensor and the currents of the free massless Dirac field at thermodynamic equilibrium with acceleration and rotation and a conserved axial charge by using the density operator approach. We carry out an expansion in thermal vorticity to the second order with finite axial chemical potential \(\mu_A\). The obtained coefficients of the expansion are expressed as correlators of angular momenta and boost operators with the currents. We confirm previous observations that the axial chemical potential induces non-vanishing components of the stress-energy tensor at first order in thermal vorticity due to breaking of parity invariance of the density operator with \(\mu_A \ne 0\). The appearance of these components might play an important role in chiral hydrodynamics.
ISSN:2331-8422
DOI:10.48550/arxiv.1807.02071