Axial anomalies realize in flux detectors as massless-limit collapse of angular distributions onto beam-collinear deltas while preserving the integrated anomaly sum rule, with the same mechanism for zilch and mixed gravitational channels.
Zilch Vortical Effect, Berry Phase, and Kinetic Theory
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abstract
Rotating photon gas exhibits a chirality separation along the angular velocity which is manifested through a generation of helicity and zilch currents. In this paper we study this system using the corresponding Wigner function and construct elements of the covariant chiral kinetic theory for photons from first principles. The Wigner function is solved order-by-order in $\hbar$ and the unconstrained terms are fixed by matching with quantum field theory results. We further consider the zilch and helicity currents and show that both manifestations of the chirality transport originate in the Berry phase of photons similarly to other chiral effects. Constructing the kinetic description from the Wigner function we find that the frame vector needed to fix the definition of spin of a massless particle is, in fact, the vector of the residual gauge freedom for the free Maxwell theory. We also briefly comment on the possible relation between vortical responses in rotating systems of massless particles and the anomalies of underlying quantum field theory.
years
2026 3representative citing papers
Gravitons show a helicity-dependent spin Hall effect from Berry curvature, producing an energy Hall current splitting exactly twice as large as the photon case.
Photons possess a quantum metric in momentum space that induces a nonlinear Hall effect for light in inhomogeneous media and nonlinear corrections to gravitational lensing from the interplay of position and momentum space geometry.
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Anomaly Realization in Charge-Flux Detector Correlators
Axial anomalies realize in flux detectors as massless-limit collapse of angular distributions onto beam-collinear deltas while preserving the integrated anomaly sum rule, with the same mechanism for zilch and mixed gravitational channels.
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Gravitons show a helicity-dependent spin Hall effect from Berry curvature, producing an energy Hall current splitting exactly twice as large as the photon case.
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Quantum Metric and Nonlinear Hall Effect of Photons
Photons possess a quantum metric in momentum space that induces a nonlinear Hall effect for light in inhomogeneous media and nonlinear corrections to gravitational lensing from the interplay of position and momentum space geometry.