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  • Letter
  • Open Access

Chiral vortical effect in extended Rarita-Schwinger field theory and chiral anomaly

G. Yu. Prokhorov* and O. V. Teryaev†

V. I. Zakharov‡

  • Joint Institute for Nuclear Research, Joliot-Curie street 6, Dubna 141980, Russia and Institute of Theoretical and Experimental Physics, NRC Kurchatov Institute, B. Cheremushkinskaya 25, Moscow 117218, Russia

  • Institute of Theoretical and Experimental Physics, NRC Kurchatov Institute, B. Cheremushkinskaya 25, Moscow 117218, Russia and Pacific Quantum Center, Far Eastern Federal University, 10 Ajax Bay, Russky Island, Vladivostok 690950, Russia

  • *prokhorov@theor.jinr.ru
  • †teryaev@jinr.ru
  • ‡vzakharov@itep.ru
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Phys. Rev. D 105, L041701 – Published 16 February, 2022

DOI: https://doi.org/10.1103/PhysRevD.105.L041701

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 μ2 and T2 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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Phys. Rev. D 105, L041701– Published 16 February, 2022
  • Received 20 September 2021
  • Accepted 1 December 2021
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