Fine-tuning problems in quantum field theory and Lorentz invariance: A scalar-fermion model with a physical momentum cutoff

Abstract

We study the consistency of having Lorentz invariance as a low energy approximation within the quantum field theory framework. A model with a scalar and a fermion field is used to show how a Lorentz invariance violating high momentum scale, a physical cutoff rendering the quantum field theory finite, can be made compatible with a suppression of Lorentz invariance violations at low momenta. The fine tuning required to get this suppression and to have a light scalar particle in the spectrum is determined at one loop.

Revised version; minor changes. The main content of the paper is not altered

References in corpus (6)

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Cited by in corpus (3)

• Quantum gravity phenomenology at the dawn of the multi-messenger era -- A review
• Asymptotic single-particle states and exact Lorentz-violating all-loop quantum corrections for scalar field theory
• Holographic phenomenology via overlapping degrees of freedom