Gauge symmetry restoration in the un-particle vacuum

TL;DR

This paper explores how new physics beyond the Standard Model, including un-particles and quantum gravity effects, can lead to gauge symmetry restoration and modify interaction energies, revealing novel phenomena in particle physics.

Contribution

It introduces a new perspective on gauge symmetry behavior in the presence of un-particles and quantum gravity, with a novel approach to analyzing minimal length effects.

Findings

Gauge interaction maintains long-range character despite Higgs VEV.

Quantum gravity induces a finite, modified interaction energy.

Qualitative departure from standard interaction energy behavior.

Abstract

In this note we investigate the impact of some "new-physics", beyond the electro-weak Standard Model of elementary particles, on the Higgs vacuum. We consider both un-particle and quantum gravity induced effects. We find that even if the Higgs field takes a non-vanishing v.e.v., gauge interaction keeps its long range character leading to an effective gauge symmetry restoration. Next, by using a physically-based alternative to the usual Wilson loop approach, we examine the effect of a quantum gravity induced minimal length on a physical observable in the un-particle sector. As a consequence, we obtain an ultraviolet finite interaction energy described by a confluent hyper-geometric function. This result displays a marked qualitative departure from its standard counterpart.