Renormalized Kaluza-Klein theories

Abstract

Using six-dimensional quantum electrodynamics ($QE{D}_6$) as an example we study the one-loop renormalization of the theory both from the six and four-dimensional points of view. Our main conclusion is that the properly renormalized four dimensional theory never forgets its higher dimensional origin. In particular, the coefficients of the neccessary extra counterterms in the four dimensional theory are determined in a precise way. We check our results by studying the reduction of $QE{D}_4$ on a two-torus.

LaTeX, 36 pages. A new section added; references improved, typos fixed

Cited by in corpus (7)

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• Higher derivatives and brane-localised kinetic terms in gauge theories on orbifolds
• Mass corrections in string theory and lattice field theory
• Renormalized masses of heavy Kaluza-Klein states
• Power law in a gauge-invariant cut-off regularisation
• Decoupling of Heavy Kaluza-Klein Modes In Models With Five-Dimensional Scalar Fields
• Quantum corrections to Higher-Dimensional Theories