Dimensional Reduction on a Scalar Field

The introduction of a compact extra dimension into a scalar field theory introduces an infinite tower of increasing (3+1) dimensional masses, called a Kaluza-Klein tower. This process, known as "dimensional reduction,'' depends on the curvature of space-time. We present a very brief overview of the framework necessary to perform a dimensional reduction and an analysis of a trivially curved (4+1) dimensional space-time, followed by a brief discussion on more general curvature and its effects on a Kaluza-Klein tower.