The Abelian Higgs model and a minimal length in an un-particle scenario
1 Departmento de Física and Centro Científico-Tecnológico de Valparaíso, Universidad Técnica Federico Santa María Valparaíso, Chile
2 Dipartimento di Fisica Teorica, Università di Trieste and INFN, Sezione di Trieste - Trieste, Italy
Received: 23 December 2013
Accepted: 17 January 2014
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 vacuum expectation value (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 hypergeometric function, which shows a remarkable richness of behavior.
PACS: 14.70.-e – Gauge bosons / 12.60.Cn – Extensions of electroweak gauge sector / 13.40.Gp – Electromagnetic form factors
© EPLA, 2014