6533b7d5fe1ef96bd1263ce4
RESEARCH PRODUCT
Translational anomaly of chiral fermions in two dimensions
Pau Beltrán-palauSilvia PlaJose Navarro-salassubject
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.
year | journal | country | edition | language |
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2019-05-16 | Physical Review D |