Examining the Anomalous Nature of Chiral Effects in Thermodynamics
R\'emy Larue, J\'er\'emie Quevillon, Diego Saviot
TL;DR
This paper provides a direct path integral computation of chiral anomalies in relativistic fluids, revealing new thermodynamic contributions to chiral effects and showing the anomaly vanishes at global equilibrium.
Contribution
It introduces a novel direct path integral method for computing chiral anomalies in curved backgrounds, uncovering new thermodynamic effects.
Findings
Identifies new thermodynamic contributions to chiral anomalies.
Shows the anomaly vanishes at global equilibrium.
Provides a direct computation method for anomalies in curved spacetime.
Abstract
Quantum anomalies give rise to novel transport phenomena, including the generation of a current in a relativistic fluid due to the presence of magnetic field or vorticity. We present an exclusive and direct computation of the chiral anomaly within the path integral for a massless fermion on a generic electromagnetic and curved background, including local temperature and chemical potential. We identify new thermodynamical contributions to the anomaly which induce the Chiral Separation and Vortical Effects. Additionally, we show that the anomaly fully vanishes at global equilibrium.
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