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arXiv · 1401.4889

The Abelian Higgs model and a minimal length in an un-particle scenario

Patricio Gaete·Euro Spallucci
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Abstract

We consider both the Abelian Higgs model and the impact of a minimal length in the un-particle sector. It is shown 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. The effect of a quantum gravity induced minimal length on a physical observable is then estimated by using a physically-based alternative to the usual Wilson loop approach. Interestingly, we obtain an ultraviolet finite interaction energy described by a confluent hyper-geometric function, which shows a remarkable richness of behavior.

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Patricio Gaete, Euro Spallucci. 2014-01-20. The Abelian Higgs model and a minimal length in an un-particle scenario. https://doi.org/10.1209/0295-5075%2F105%2F21002

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