The Spontaneous Breaking of Chiral Symmetry without Goldstone Bosons

Details The Spontaneous Breaking of Chiral Symmetry without Goldstone Bosons The Spontaneous Breaking of Chiral Symmetry without Goldstone Bosons

1994-01-31

arxiv.org/abs/hep-lat/9401036v1

Physics

High Energy Physics

High Energy Physics - Lattice

8 pages + 3 figures

Scientific paper

Considering a self-interaction only of mirror fermions in the context of a lattice-regularized fermion field theory, we show that the system undergoes spontaneous breaking of chiral symmetry and mirror-fermion masses are generated. However, it is explicitly shown that there are no Goldstone bosons appearing together with this spontaneous symmetry breaking phenomenon, since Lorentz invariance, one of very general prerequisites of the Goldstone theorem, is violated. The result and its possible application are briefly discussed.

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