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arXiv 1002.1904hep-ph
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轨道褶皱上的低能动能分布

Low energy kinetic distribution on orbifolds

Nobuhiro Uekusa

摘要:

在S1/Z2轨道上的五维Yukawa理论中研究了与波函数重整化有关的费米子自能。单圈发散可以用体中和膜上的两个重整化常数来减去。我们表明,体积和膜部分的自能是唯一确定所需的物理条件。利用这个过程,给出了重整化自能的动量尺度依赖关系,并得到了低能和高能下体原子和膜原子的分布。尽管在更高的维度上可能有更高程度的发散,但正则化方案的依赖性不会出现。本文还讨论了正则化方案依赖于高阶循环的观点。我们发现体贡献与膜贡献的比值以一种非常温和的方式依赖于动量标度,因此对于主导量子效应,体动力学项与膜动力学项的相对系数可以被视为近似常数.本文给出的物理条件适用于各种轨道模型的消歧。

英文摘要:

Fermion self-energy associated with wave function renormalization is studied in a five-dimensional Yukawa theory on the orbifold S1/Z2. One-loop divergence can be subtracted with only two renormalization constants in the bulk and on the branes. We show that the bulk and brane parts of the self-energy are uniquely determined with requiring physical conditions. With this procedure, momentum-scale dependence of the renormalized self-energy is given and the distribution of the bulk and brane parts can be found at low and high energies. Despite possible higher degrees of divergence in higher dimensions, the regularization scheme dependence does not arise. A viewpoint of the regularization scheme dependence at higher-loop level is also discussed. We find that the ratio of the bulk contribution to the brane contribution depends on the momentum scale in a very mild way, so that the relative coefficient of bulk and brane kinetic terms can be regarded as approximately constant for the leading quantum effect. The physical conditions given here are applicable to remove ambiguity in various orbifold models.

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