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

• Main Authors: M. Buzzegoli, F. Becattini
• Format: Article
• Language: English
• Published: SpringerOpen 2018-12-01
• Series: Journal of High Energy Physics
• Subjects: Chiral Lagrangians; Thermal Field Theory; Quark-Gluon Plasma; SpaceTime Symmetries
• Online Access: http://link.springer.com/article/10.1007/JHEP12(2018)002

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 μ 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 μ A ≠ 0. The appearance of these components might play an important role in chiral hydrodynamics.