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arXiv:hep-lat/9212001·v1·High Energy Physics — Lattice

Chiral fermions in two dimensions?

Wolfgang Bock🇳🇱 · Asit K. De🇺🇸 · Erich Focht🇩🇪 · Jan Smit🇳🇱

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Abstract

Quenched studies of a global U(1) symmetric Wilson-Yukawa model in two dimensions show no evidence of a charged fermion in the vortex phase at strong Wilson-Yukawa coupling while there is strong indication of a massive neutral fermion. However, with the U(1) gauge field turned on, we use dimensional arguments to suggest that the neutral fermion appears to couple chirally to a massive vector boson state.

Comments: 4 pages, 2 postscript figures (appended), Wash. U