Quantum Kinetic Theory with Vector and Axial Gauge Fields
Abstract
In this paper we introduce the axial gauge field to the framework of the quantum kinetic theory with vector gauge field in the massless limit. Treating axialgauge field on an equal footing with the vectorgauge field, we construct a consistent solution to the kinetic equations up to the first order in gradient expansion or equivalently the semiclassical expansion. The intuitive extension of quantum kinetic theory presented in this work provides a natural generalization, and turns out to give rise to the covariant anomaly and the covariant currents. The corresponding consistent currents can be obtained from the covariant ones by adding the ChernSimons current. We use the consistent currents to calculate various correlation functions among currents and energymomentum tensor in equilibrium state.
 Publication:

arXiv eprints
 Pub Date:
 September 2021
 arXiv:
 arXiv:2109.08440
 Bibcode:
 2021arXiv210908440C
 Keywords:

 High Energy Physics  Phenomenology;
 Condensed Matter  Mesoscale and Nanoscale Physics;
 Nuclear Theory
 EPrint:
 23 pages