Abstract

In models of fermions coupled to gauge fields certain current-conservation laws are violated by Bell-Jackiw anomalies. In perturbation theory the total charge corresponding to such currents seems to be still conserved, but here it is shown that nonperturbative effects can give rise to interactions that violate the charge conservation. One consequence is baryon and lepton number nonconservation in $V\ensuremath{-}A$ gauge theories with charm. Another is the nonvanishing mass squared of the $\ensuremath{\eta}$.

Keywords

PhysicsConservation lawFermionBaryon numberCharge (physics)Gauge theoryBaryonCharge conservationPerturbation theory (quantum mechanics)Particle physicsSymmetry (geometry)Quantum electrodynamicsLepton numberLeptonQuantum mechanicsTheoretical physicsMathematical physicsElectron

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Publication Info

Year
1976
Type
article
Volume
37
Issue
1
Pages
8-11
Citations
3184
Access
Closed

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Gerard ’t Hooft (1976). Symmetry Breaking through Bell-Jackiw Anomalies. Physical Review Letters , 37 (1) , 8-11. https://doi.org/10.1103/physrevlett.37.8

Identifiers

DOI
10.1103/physrevlett.37.8