Extra Dimensions and Fluxes

In this dissertation we will be discussing the extra dimensional geometry M4 S1 along with the notion of a purely theoretical magnetic flux in a higher dimensionality that permeates our manifold. This flux gives all of the charged fields in our model an additional nontrivial phase that will be dependent on the extra coordinate. This phase effect is similar to the Aharonov-Bohm effect even though we are not talking about interference phenomenon in the current context.;With a somewhat brief introduction to Universal and non-Universal extra dimensions and the solution to the Hierarchy problem, we will analyze the complete electroweak theory in this geometry with these fluxes. The masses for the resulting fields before and after the Higgs mechanism will be presented and an analysis of the degrees of freedom of the model will be investigated. We will also add first generation leptons and quarks to this theory. A possible upper limit for the ratio of the flux and compactification size will be presented by comparing the theory with experiment.;We will then work with the QED results from this theory to calculate the magnetic and electric dipole moments for leptons in the model using the standard fermion-photon scattering diagrams to single loop order. We will then use these results to compare with experiment and give upper limits for the compactification size of the extra coordinate and a possible imposed value for the magnetic flux. We will then derive expressions for the freely propagating fields of this general model and give the masses for these fields.;Finally we will investigate the tunneling between the two non-degenerate vacuum states resulting from the flux. A closed form expression for the tunneling probability per unit time per unit volume will be derived and the pertinent parameters of the formula will be discussed. The probability will then be analyzed using the deduced upper limit for the ratio of the flux to compactifcation size.