The Spontaneous Breaking of Chiral Symmetry without Goldstone Bosons
She-Sheng Xue
TL;DR
This paper demonstrates that in a lattice-regularized fermion theory with mirror fermions, chiral symmetry can spontaneously break and generate fermion masses without producing Goldstone bosons due to Lorentz invariance violation.
Contribution
It shows that spontaneous chiral symmetry breaking can occur without Goldstone bosons in lattice fermion models where Lorentz invariance is broken.
Findings
Chiral symmetry is spontaneously broken in the model.
Mirror-fermion masses are generated.
No Goldstone bosons appear due to Lorentz invariance violation.
Abstract
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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Taxonomy
TopicsAtomic and Subatomic Physics Research · Biofield Effects and Biophysics · Advanced NMR Techniques and Applications