A Possible Origin of the Wilson Lattice Fermion

Details A Possible Origin of the Wilson Lattice Fermion A Possible Origin of the Wilson Lattice Fermion

1993-12-19

arxiv.org/abs/hep-lat/9312074v2

Physics

High Energy Physics

High Energy Physics - Lattice

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

Scientific paper

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 $r\simeq 0.18$, where the vacuum energy of the system is minimized.

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