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

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 ${\mu }^2$ 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.

11 pages

References in corpus (18)

• Gravitational Anomaly and Transport
• Local polarization and isothermal local equilibrium in relativistic heavy ion collisions
• Notes on chiral hydrodynamics within effective theory approach
• Exact equilibrium distributions in statistical quantum field theory with rotation and acceleration: Dirac field
• Unruh effect for fermions from the Zubarev density operator
• Unruh effect universality: emergent conical geometry from density operator
• Thermodynamic equilibrium of massless fermions with vorticity, chirality and electromagnetic field
• SU(8) family unification with boson-fermion balance
• CVE for photons: black-hole vs. flat-space derivation
• Chiral vortical effect for vector fields
• Chiral gravitational effect in time-dependent backgrounds
• Analog of gravitational anomaly in topological chiral superconductors
• Vortical effects in Dirac fluids with vector, chiral and helical charges
• Chiral Anomaly Calculation in the Extended Coupled Rarita-Schwinger Mode
• On chiral vortical effect in accelerated matter
• Chiral separation effect for spin 3/2 fermions
• Vortical Effects for Free Fermions on Anti-De Sitter Space-Time
• Chiral transport in curved spacetime via holography

Cited by in corpus (5)

• Thermal transport, geometry, and anomalies
• Anomalous chiral transport with vorticity and torsion: Cancellation of two mixed gravitational anomaly currents in rotating chiral $p+ip$ Weyl condensates
• Gravitational chiral anomaly and anomalous transport for fields with spin 3/2
• Gravitational chiral anomaly for spin 3/2 field interacting with spin 1/2 field
• Anomalous transport from geometry