Brane fluctuations and suppression of Kaluza-Klein mode couplings

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.

Figures (1)

• Figure 1: Typical allowed region for brane tension $f$ from the measurement of the Fermi constant. The region below each line is allowed for each value of $M_s$. For $R^{-1}\; {\hbox{$>$}}\hbox{$\sim$}\;\, 1.1$ TeV, there exists no constraint on $f$.