On the Stability of Infinite Derivative Abelian Higgs

TL;DR

This paper demonstrates that modifying the Abelian Higgs model with a Gaussian kinetic term stabilizes the vacuum at high energies, preventing instabilities and impacting early Universe cosmology.

Contribution

It introduces a novel Gaussian kinetic modification to the Abelian Higgs model, ensuring vacuum stability at high energies.

Findings

No vacuum instability with Gaussian kinetic term

Exponential suppression of running couplings at high energies

Implications for early Universe cosmology

Abstract

Motivated by the stringy effects by modifying the local kinetic term of an Abelian Higgs field by the Gaussian kinetic term we show that the Higgs field does not possess any instability, the Yukawa coupling between the scalar and the fermion, the gauge coupling, and the self interaction of the Higgs yields exponentially suppressed running at high energies, showing that such class of theory never suffers from vacuum instability. We briefly discuss its implications for the early Universe cosmology.