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Gauge invariance and fermion doubling on the lattice

  • Richard Stacey
Article

Abstract

(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.

Keywords

Field Theory Elementary Particle Quantum Field Theory Early Result Particle Acceleration 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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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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