TY - JOUR
T1 - Zero modes on the lattice. The vortex fermion system
AU - Cugliandolo, Leticia F.
AU - Fradkin, Eduardo
AU - Schaposnik, Fidel A.
N1 - Funding Information:
This work was supported in part by NSF Grant No. DMR84-15063 at the University of Illinois at Urbana-Champaign, CONICET and CIC Buenos Aires, Argentina.
PY - 1989/7/6
Y1 - 1989/7/6
N2 - 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.
AB - 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.
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U2 - 10.1016/0370-2693(89)91468-8
DO - 10.1016/0370-2693(89)91468-8
M3 - Article
AN - SCOPUS:34247856737
SN - 0370-2693
VL - 224
SP - 407
EP - 411
JO - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
JF - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
IS - 4
ER -