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A construction of the Glashow-Weinberg-Salam model on the lattice with exact gauge invariance | | Daisuke Kadoh
; Yoshio Kikukawa
; | | Date: |
24 Sep 2007 | | Abstract: | 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 the 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. | | Source: | arXiv, 0709.3658 | | Services: | Forum | Review | PDF | Favorites | |
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