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arXiv · 2109.06048

Chiral Vortical Effect in Extended Rarita-Schwinger Field Theory and Chiral Anomaly

G. Yu. Prokhorov·O. V. Teryaev·V. I. Zakharov
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Abstract

We consider the theory of Rarita-Schwinger field interacting with a field with spin 1/2, in the case of finite temperature, chemical potential and vorticity, and calculate the chiral vortical effect for spin 3/2. We have clearly demonstrated the role of interaction with the spin 1/2 field, the contribution of the terms with which to CVE is 6. Since the contribution from the Rarita-Schwinger field is -1, the overall coefficient in CVE is 6-1=5, which corresponds to the recent prediction of a gauge chiral anomaly for spin 3/2. The obtained values for the coefficients $μ^2$ and $T^2$ are proportional to each other, but not proportional to the spin, which indicates a possible new universality between the temperature-related and the chemical potential-related vortical effects. The results obtained allow us to speculate about the relationship between the gauge and gravitational chiral anomalies.

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G. Yu. Prokhorov, O. V. Teryaev, V. I. Zakharov. 2021-09-13. Chiral Vortical Effect in Extended Rarita-Schwinger Field Theory and Chiral Anomaly. https://doi.org/10.1103/physrevd.105.l041701

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