出版社:SISSA, Scuola Internazionale Superiore di Studi Avanzati
摘要:We present a gauge-invariant and non-perturbative construction of the Glashow-Weinberg-Salam
model on the lattice, based on the lattice Dirac operator satisfying the Ginsparg-Wilson relation.
Our construction covers all SU(2) topological sectors with vanishing U(1) magnetic flux and
would be usable for a description of the baryon number non-conservation. In infinite volume, it
provides a gauge-invariant regularization of the electroweak theory to all orders of perturbation
theory. First we formulate the reconstruction theorem which asserts that if there exists a set of
local currents satisfying cetain properties, it is possible to reconstruct the fermion measure which
depends smoothly on the gauge fields and fulfills the fundamental requirements such as locality,
gauge-invariance and lattice symmetries. Then we give a closed formula of the local currents
required for the reconstruction theorem.