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A Wilson-Majorana Regularization for Lattice Chiral Gauge Theories

High Energy Physics - Lattice 2009-10-28 v2 High Energy Physics - Theory

Abstract

We discuss the regularization of chiral gauge theories on the lattice introducing only physical degrees of freedom. This is obtained by writing the Wilson term in a Majorana form, at the expense of the U(1) symmetry related to fermion number conservation. The idea of restoring chiral invariance in the continuum by introducing a properly chosen set of counterterms to be added to the tree level action is checked against one-loop perturbative calculations.

Keywords

Cite

@article{arxiv.hep-lat/9610008,
  title  = {A Wilson-Majorana Regularization for Lattice Chiral Gauge Theories},
  author = {Gabriele Travaglini},
  journal= {arXiv preprint arXiv:hep-lat/9610008},
  year   = {2009}
}

Comments

29 pages, Latex file, no figures; references and a discussion on fermion number nonconservation added; version published in Nucl. Phys. B 507 (1997) 709