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A Possible Origin of the Wilson Lattice Fermion

High Energy Physics - Lattice 2016-08-31 v2 High Energy Physics - Theory

Abstract

Considering relevant and irrelevant high-dimension operators for ordinary and mirror fermions respectively, we show that the Wilson lattice fermion can originate from a spontaneous symmetry breaking phenomenon. Ward identities, due to symmetries at the cutoff, guarantee the cancellation of mirror-fermion contributions and the infrared limit can be achieved. The Wilson parameter turns out to be fixed at r0.18r\simeq 0.18, where the vacuum energy of the system is minimized.

Keywords

Cite

@article{arxiv.hep-lat/9312074,
  title  = {A Possible Origin of the Wilson Lattice Fermion},
  author = {She-Sheng XUE},
  journal= {arXiv preprint arXiv:hep-lat/9312074},
  year   = {2016}
}

Comments

(to appear in Phys. Lett. B) 9 pages (LaTeX) and 2 figures, MITH 93/21