6533b7d5fe1ef96bd1263ce4

RESEARCH PRODUCT

Translational anomaly of chiral fermions in two dimensions

Pau Beltrán-palauSilvia PlaJose Navarro-salas

subject

High Energy Physics - TheoryPhysicsMomentumTheoretical physicsSpinorHigh Energy Physics - Theory (hep-th)General covarianceMinkowski spaceFOS: Physical sciencesCovariant transformationTensorAnomaly (physics)Symmetry (physics)

description

It is well known that a quantized two-dimensional Weyl fermion coupled to gravity spoils general covariance and breaks the covariant conservation of the energy-momentum tensor. In this brief article, we point out that the quantum conservation of the momentum can also fail in flat spacetime, provided the Weyl fermion is coupled to a time-varying homogeneous electric field. This signals a quantum anomaly of the space-translation symmetry, which has not been highlighted in the literature so far.

https://doi.org/10.1103/physrevd.99.105008