Generalized parity transformations in lattice Chern-Simons theory

Details Generalized parity transformations in lattice Chern-Simons theory Generalized parity transformations in lattice Chern-Simons theory

2001-10-04

arxiv.org/abs/hep-th/0110043v1

Nucl.Phys.Proc.Suppl. 106 (2002) 1007-1009

Physics

High Energy Physics

High Energy Physics - Theory

3 pages, LaTeX. Talk given at Lattice2001(theorydevelop)

Scientific paper

Regularization modifies the (odd) behaviour of the Abelian Chern-Simons action under parity. This effect happens for any sensible regularization; in particular, on the lattice. However, as in the chiral symmetry case, there exist generalized parity transformations such that the regularized theory is odd, and the corresponding operator verifies a Ginsparg-Wilson like relation. We present a derivation of such a relation and of the corresponding symmetry transformations.

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