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

Kaplan recently proposed a novel lattice chiral gauge theory in which the bare theory is defined on (2n+1)(2n+1)(2n+1)-dimensions, but the continuum theory emerges in 2n2n2n-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.