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arXiv 1401.4889hep-th
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阿贝尔Higgs模型与非粒子情形下的最小长度

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

Patricio Gaete, Euro Spallucci

摘要:

我们考虑了阿贝尔希格斯模型和非粒子部分的最小长度的影响。它表明,即使希格斯场采取非零v.e.v.,规范相互作用保持其长程特性,导致有效的规范对称性恢复。然后,通过使用通常的威尔逊圈方法的基于物理的替代方法估计的量子引力诱导的最小长度的物理可观察的效果。有趣的是,我们得到了一个由汇合超几何函数描述的紫外有限相互作用能,它显示了显着的丰富的行为。

英文摘要:

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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