出版社：SISSA, Scuola Internazionale Superiore di Studi Avanzati
摘要：In the gauge-invariant construction of abelian chiral gauge theories on the lattice based on the
Ginsparg-Wilson relation, the gauge anomaly is topological and its cohomologically trivial part
plays the role of the local counter term. We give a prescription to solve the local cohomology
problem within a finite lattice by reformulating the Poincaré lemma so that it holds true on the
finite lattice up to exponentially small corrections. Moreover we perform a caluculation of the
trivial part of the anomaly numerically, which is given by the solution of the local cohomology
problem.
