Brane Fluctuation and New Counting Rules for Kaluza-Klein Towers

Details Brane Fluctuation and New Counting Rules for Kaluza-Klein Towers Brane Fluctuation and New Counting Rules for Kaluza-Klein Towers

2000-11-29

arxiv.org/abs/hep-ph/0011374v2

Physics

High Energy Physics

High Energy Physics - Phenomenology

9 pages, LaTeX, typos corrected and a KUNS preprint number changed

Scientific paper

In models with extra dimensions, branes have been usually treated as solid bodies though they are prohibited by the relativity. In the previous letter, we proposed a method of taking account of brane fluctuation by introducing Nambu-Goldstone bosons, and prove that when a tension of the brane is small, the interaction between boundary fields and Kaluza-Klein modes is suppressed exponentially. In this letter, we further investigate this suppression in more generic configuration, and obtain three counting rules, ``AND'', ``OR'' and ``STACK'' rules, depending on the softness of branes and the character of fields on the branes four dimensions. The choice determines the number of Kaluza-Klein towers contributing to renormalization group equations, leading to a remarkable change in the running behavior of coupling constants.

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