6533b859fe1ef96bd12b78ed

RESEARCH PRODUCT

Electromagnetic Duality Anomaly in Curved Spacetimes

Iván AgullóJosé Navarro-salasAdrián Del RíoAdrian Del Rio

subject

High Energy Physics - TheoryElectromagnetic fieldFOS: Physical sciencesGeneral Physics and AstronomyGeneral Relativity and Quantum Cosmology (gr-qc)01 natural sciencesGeneral Relativity and Quantum Cosmologysymbols.namesakeGravitational field0103 physical sciences010306 general physicsQuantumMathematical PhysicsMathematical physicsPhysicsChiral anomalyQuantum PhysicsConservation law010308 nuclear & particles physicsMathematical Physics (math-ph)Invariant (physics)Classical mechanicsHigh Energy Physics - Theory (hep-th)Dirac fermionsymbolsNoether's theoremQuantum Physics (quant-ph)

description

The source-free Maxwell action is invariant under electric-magnetic duality rotations in arbitrary spacetimes. This leads to a conserved classical Noether charge. We show that this conservation law is broken at the quantum level in presence of a background classical gravitational field with a non-trivial Chern-Pontryagin invariant, in a parallel way to the chiral anomaly for massless Dirac fermions. Among the physical consequences, the net polarization of the quantum electromagnetic field is not conserved.

https://doi.org/10.1103/physrevlett.118.111301