Staggered fermions for chiral gauge theories: Test on a two-dimensional axial-vector model

Physics – High Energy Physics – High Energy Physics - Lattice

Scientific paper

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17 pages, 5 postscript figures (appended), ITFA 93-13, UCSD/PTH 93-13

Scientific paper

10.1016/0550-3213(94)90422-7

As a first step towards constructing chiral models on the lattice with staggered fermions, we study a U(1) model with axial-vector coupling to an external gauge field in two dimensions. In our approach gauge invariance is broken, but it is restored in the classical continuum limit. We find that the continuum divergence relations for the vector and axial-vector currents are reproduced, up to contact terms, which we determine analytically. The current divergence relations are also studied numerically for smooth external gauge fields with topological charge zero. We furthermore investigate the effect of fluctuating gauge transformations and of gauge configurations with non-trivial topological charge.

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