3 Into 2 Doesn't Go: (almost) chiral gauge theory on the lattice

Details 3 Into 2 Doesn't Go: (almost) chiral gauge theory on the lattice 3 Into 2 Doesn't Go: (almost) chiral gauge theory on the lattice

1993-05-29

arxiv.org/abs/hep-lat/9305026v1

Physics

High Energy Physics

High Energy Physics - Lattice

13 pages (no figures)

Scientific paper

Kaplan recently proposed a novel lattice chiral gauge theory in which the bare theory is defined on $(2n+1)$-dimensions, but the continuum theory emerges in $2n$-dimensions. We explore whether the resulting theory reproduces all the features of continuum chiral gauge theory in the case of two-dimensional axial Schwinger model. We find that one can arrange for the two-dimensional perturbation expansion to be reproduced successfully. However, the theory fails to reproduce the 2-dimensional fermion nonconservation.

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