Gravitational chiral anomaly and anomalous transport for fields with spin 3/2

TL;DR

This paper investigates the gravitational chiral anomaly and anomalous transport phenomena for spin 3/2 fields, deriving transport coefficients using quantum-statistical methods and predicting their form for massless arbitrary spin fields.

Contribution

It introduces a method to compute KVE transport coefficients for spin 3/2 fields and predicts their form for massless fields of arbitrary spin, linking anomalies with transport effects.

Findings

Derived KVE transport coefficients for spin 3/2 fields.

Predicted the form of transport coefficients for massless arbitrary spin fields.

Linked gravitational chiral anomaly with anomalous transport phenomena.

Abstract

In a fluid with vorticity and acceleration, an axial current arises in the third order of gradient expansion, called the kinematical vortical effect (KVE). While existing in the absence of gravitational fields, it is nevertheless associated with effects in curved space-time, namely with the gravitational chiral quantum anomaly. In this paper, the KVE transport coefficients were found using the Zubarev quantum-statistical density operator for the Rarita-Schwinger-Adler theory, which includes fields with spins 3/2 and 1/2. A prediction is made about the possible form of the transport coefficients for massless fields with arbitrary spin.