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23 April 2024
 
  » arxiv » hep-th/9807181

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Mass protection via translational invariance
J.L. Alonso ; Ph. Boucaud ; J.M. Carmona ; J.L. Cortes ; J. Polonyi ; A.J. van der Sijs ;
Date 23 Jul 1998
Journal Mod.Phys.Lett. A14 (1999) 2277-2285
Subject hep-th hep-lat hep-ph
AbstractWe 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.
Source arXiv, hep-th/9807181
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