The Abelian Higgs model and a minimal length in an un-particle scenario
arXiv:1401.4889 · doi:10.1209/0295-5075/105/21002
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.
6 pages. Tp appear in EPL
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Cited by in corpus (4)
- Exact solutions of the (2+1) -dimensional Dirac oscillator under a magnetic field in the presence of a minimal length in the noncommutative phase-space
- Unparticle Casimir effect
- Unparticle contribution to the hydrogen atom ground state energy
- Two-dimensional Klein-Gordon Oscillator in the presence of a minimal length