Chiral fermions in two dimensions?
Wolfgang Bock, Asit K. De, Erich Focht, Jan Smit
TL;DR
This study investigates chiral fermions in two-dimensional models, finding evidence for massive neutral fermions and their potential chiral coupling to vector bosons when gauge fields are included.
Contribution
It provides new insights into the behavior of chiral fermions and gauge interactions in two-dimensional models, especially regarding neutral fermion coupling.
Findings
No charged fermion in vortex phase at strong coupling
Presence of a massive neutral fermion
Neutral fermion may couple chirally to a vector boson when gauge fields are active
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.
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