Excursions through KK modes

Understand

In this article we study Kaluza-Klein (KK) dimensional reduction of massive Abelian gauge theories with charged matter fields on a circle.

• Since local gauge transformations change position dependence of the charged fields, the decomposition of the charged matter fields into KK modes is gauge dependent.
• While whole KK mass spectrum is independent of the gauge choice, the mode number depends on the gauge.
• The masses of the KK modes also depend on the field value of the zero-mode of the extra dimensional component of the gauge field.