Towards the effective action of Non-Perturbative Gauge-Higgs Unification (or on RG flows near quantum phase transitions)

TL;DR

This paper investigates RG flows in 5D Yang-Mills theories near quantum phase transitions, offering insights into the Higgs hierarchy problem through a specific model with non-periodic boundary conditions.

Contribution

It introduces a 5D model with non-periodic boundary conditions demonstrating RG flows from trivial points to quantum phase transitions, providing new perspectives on gauge-Higgs unification.

Findings

RG flows can connect trivial points to quantum phase transitions

Insights into the Higgs hierarchy problem near phase transition endpoints

Potential implications for gauge-Higgs unification models

Abstract

We make a few general comments on the Renormalization Group flows in certain Yang-Mills theories in the vicinity of phase transitions. We then present a model in d=5 with non-periodic boundary conditions where a possible RG flow starts from the trivial point and ends on a quantum phase transition. Near the endpoint of the flow interesting comments can be made about the Higgs hierarchy problem.