The Higgs mechanism as a cut-off effect
Nikos Irges, Francesco Knechtli, Magdalena Luz
TL;DR
This paper investigates how a finite cut-off affects the Higgs mechanism in five-dimensional SU(2) and SU(3) gauge theories, revealing a Higgs phase alongside the Coulomb phase and comparing theoretical predictions with lattice simulations.
Contribution
It introduces a finite cut-off in the Coleman-Weinberg potential for 5D gauge theories, uncovering a Higgs phase not previously emphasized, and validates results with lattice data.
Findings
Identification of a Higgs phase in finite cut-off theories
Comparison of potential calculations with lattice simulations
Confirmation of Coulomb phase near trivial fixed point
Abstract
We compute the Coleman-Weinberg potential with a finite cut-off for pure SU(2) and SU(3) five-dimensional gauge theories compactified on an interval. We show that besides the expected Coulomb phase located at and in the vicinity of the free infrared stable or "trivial" fixed point, the theory possesses also a Higgs phase. We compare the results from the potential computation with lattice data from simulations.
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