A Possible Origin of the Wilson Lattice Fermion

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

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