Anomaly-Induced Transport Phenomena from Imaginary-Time Formalism

Abstract

A derivation of anomaly-induced transport phenomena—the chiral magnetic/vortical effect—is revisited based on the imaginary-time formalism of quantum field theory. Considering the simplest anomalous system composed of a single Weyl fermion, we provide two derivations: perturbative (one-loop) evaluation of the anomalous transport coefficient, and the anomaly matching for the local thermodynamic functional.

Keywords

• finite temperature field theory
• path integrals
• quantum fields in curved spacetime
• quantum statistical mechanics
• symmetries
• quantum anomalies
• hydrodynamics