3 Into 2 Doesn ’ t Go : ( almost ) chiral gauge theory on the lattice ∗
نویسندگان
چکیده
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 number nonconservation.
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