A Possible Origin of the Wilson Lattice Fermion
She-Sheng XUE
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 0.18, where the vacuum energy of the system is minimized.
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