Mass protection via translational invariance

Details Mass protection via translational invariance Mass protection via translational invariance

1998-07-23

arxiv.org/abs/hep-th/9807181v3

Mod.Phys.Lett.A14:2277-2285,1999

Physics

High Energy Physics

High Energy Physics - Theory

9 pages, LaTeX. Final version to appear in Modern Physics Letters

Scientific paper

10.1142/S0217732399002364

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.

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