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arXiv 0710.4889hep-ph
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额外维场论1/N $_f$展开的唯象性

Phenomenology of the 1/N$_f$ Expansion for Field Theories in Extra Dimensions

D. I. Kazakov, G. S. Vartanov

摘要:

本文综述了多维理论中1/ $N_f$展开式的性质。与通常的微扰展开相反,它是可重整化的,并且只包含对数发散。其代价是幽灵状态的存在,然而,在某些情况下,幽灵状态对物理振幅没有贡献。在这种情况下,理论是统一的,人们可以计算横截面。作为例子,我们考虑了$D=7,11,...$维世界中弹性$eq \to eq$散射的微分截面。我们也期待在多维标准模型和它的超对称扩展,发生在能量低于4维规范耦合的统一。

英文摘要:

In this paper we review the properties of the 1/$N_f$ expansion in multidimensional theories. Contrary to the usual perturbative expansion it is renormalizable and contains only logarithmic divergencies. The price for it is the presence of ghost states which, however, in certain cases do not contribute to physical amplitudes. In this case the theory is unitary and one can calculate the cross-sections. As an example we consider the differential cross section of elastic $eq \to eq$ scattering in $D=7,11,...$-dimensional world. We look also for the unification of the gauge couplings in multidimensional Standard Model and its SUSY extension which takes place at energies lower than in 4 dimensions.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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