Brane fluctuations and suppression of Kaluza-Klein mode couplings
M. Bando, T. Kugo, T. Noguchi, K. Yoshioka

TL;DR
This paper investigates how brane fluctuations, modeled as Nambu-Goldstone bosons, suppress the couplings of higher Kaluza-Klein modes to matter, addressing divergence issues in higher-dimensional models.
Contribution
It highlights the role of brane transverse modes in naturally reducing Kaluza-Klein mode couplings and resolving divergence problems in higher-dimensional theories.
Findings
Brane recoil suppresses KK mode couplings to matter.
Brane fluctuations act as Nambu-Goldstone bosons.
Resolution of divergence problems in KK exchanges.
Abstract
In higher dimensional models where the gauge and gravity fields live in the bulk and the matter fields only in a brane, we point out the importance of the brane (transverse) coordinate modes, which are the Nambu-Goldstone bosons appearing as a result of spontaneous breaking of the translation symmetry. The brane recoil effect suppresses the couplings of higher Kaluza-Klein modes to the matter, and gives a natural resolution to the divergence problem caused by the exchange of infinitely many Kaluza-Klein modes.
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