THE EFFECTIVE POTENTIAL AND ADDITIONAL LARGE RADIUS COMPACTIFIED SPACE–TIME DIMENSIONS

Abstract

The consequences of large radius extra space–time compactified dimensions on the four-dimensional one-loop effective potential are investigated for a model which includes scalar self interactions and Yukawa coupling to fermions. The Kaluza–Klein tower of states associated with the extra compact dimensions shifts the location of the effective potential minimum and modifies its curvature. The dependence of these effects on the radius of the extra dimension is illustrated for various choices of coupling constants and masses. For large radii, the consequence of twisting the fermion boundary condition on the compactified dimensions is numerically found to produce but a negligible effect on the effective potential.