Speaker
Description
Recently, lattice formulations of Abelian chiral gauge theory in two dimensions have been
devised on the basis of the Abelian bosonization. A salient feature of these 2D lattice for-
mulations is that the gauge invariance is exactly preserved for anomaly-free theories and thus
is completely free from the question of the gauge mode decoupling. In the present paper, we
propose a yet another lattice formulation sharing this desired property. A particularly unique
point in our formulation is that the vertex operator of the dual scalar field, which carries the
vector charge of the fermion and the “magnetic charge” in the bosonization, is represented by
a “hole” excised from the lattice; this is the excision method formulated recently by Abe et al.
in a somewhat different context.