Abstract
We investigate the zero mode problem for the lattice Dirac equation in the background of an abelian vortex. Following Jackiw-Rossi analysis in the continuum, we include a fermion-scalar field interaction and we show that the Dirac equation for (staggered) lattice fermions possesses |N| zero eigen-value modes in the N-vortex background. Our result suggests the validity of an index theorem in a two-dimensional lattice.
Original language | English (US) |
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Pages (from-to) | 407-411 |
Number of pages | 5 |
Journal | Physics Letters B |
Volume | 224 |
Issue number | 4 |
DOIs | |
State | Published - Jul 6 1989 |
ASJC Scopus subject areas
- Nuclear and High Energy Physics