Finite number of Kaluza-Klein modes, all with zero masses
Recai Erdem
TL;DR
This paper demonstrates that in a specific 5D model, only finitely many Kaluza-Klein modes remain after dimensional reduction, and higher modes do not acquire mass from the extra dimension, contrary to common assumptions.
Contribution
It shows that the number of Kaluza-Klein modes is finite and higher modes remain massless due to the extra dimensional kinetic term, challenging standard lore.
Findings
Finite number of Kaluza-Klein modes after integration
Higher modes do not gain mass from extra dimensions
Contradicts standard assumptions about Kaluza-Klein masses
Abstract
Kaluza-Klein modes of fermions in a 5-dimensional toy model are considered. The number of Kaluza-Klein modes that survive after integration over extra dimensions is finite in this space. Moreover the extra dimensional piece of the kinetic term induces no mass for the higher Kaluza-Klein modes on contrary to the standard lore.
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