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General thermodynamic equilibrium with axial chemical potential for the free Dirac field
- Source :
- JHEP 1812 (2018) 002
- Publication Year :
- 2018
-
Abstract
- 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.<br />Comment: 29 pages, final version published in JHEP, typos
Details
- Database :
- arXiv
- Journal :
- JHEP 1812 (2018) 002
- Publication Type :
- Report
- Accession number :
- edsarx.1807.02071
- Document Type :
- Working Paper
- Full Text :
- https://doi.org/10.1007/JHEP12(2018)002