Mass protection via translational invariance
High Energy Physics - Theory
2010-03-19 v3 High Energy Physics - Lattice
High Energy Physics - Phenomenology
Abstract
We propose a way of protecting a Dirac fermion interacting with a scalar field from acquiring a mass from the vacuum. It is obtained through an implementation of translational symmetry when the theory is formulated with a momentum cutoff, which forbids the usual Yukawa term. We consider that this mechanism can help to understand the smallness of neutrino masses without a tuning of the Yukawa coupling. The prohibition of the Yukawa term for the neutrino forbids at the same time a gauge coupling between the right-handed electron and neutrino. We prove that this mechanism can be implemented on the lattice.
Keywords
Cite
@article{arxiv.hep-th/9807181,
title = {Mass protection via translational invariance},
author = {J. L. Alonso and Ph. Boucaud and J. M. Carmona and J. L. Cortes and J. Polonyi and A. J. van der Sijs},
journal= {arXiv preprint arXiv:hep-th/9807181},
year = {2010}
}
Comments
9 pages, LaTeX. Final version to appear in Modern Physics Letters