Zero modes on the lattice. The vortex fermion system

Leticia F. Cugliandolo, Eduardo Fradkin, Fidel A. Schaposnik

Research output: Contribution to journalArticlepeer-review


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 languageEnglish (US)
Pages (from-to)407-411
Number of pages5
JournalPhysics Letters B
Issue number4
StatePublished - Jul 6 1989

ASJC Scopus subject areas

  • Nuclear and High Energy Physics


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