Gauge invariance and fermion doubling on the lattice

  • Richard Stacey


(1) We consider a possible chiral invariant solution of the lattice fermion doubling problem. This makes the unwanted states decouple in the continuum limit, at least in the non-interacting theory. The introduction of gauge interactions restores doubling. We examine how local gauge invariance makes all the species in a doubled spectrum act alike. (2) We generalise earlier results to show how gauge invariance forces a doubled spectrum on us even when other considerations do not.


Field Theory Elementary Particle Quantum Field Theory Early Result Particle Acceleration 
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Copyright information

© Springer-Verlag 1983

Authors and Affiliations

  • Richard Stacey
    • 1
  1. 1.Department of Applied Mathematics and Theoretical PhysicsUniversity of LiverpoolLiverpoolUK

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