2003/09/06 by Martin Puchwein, Z. Kunszt, Zoltan Kunszt · 4 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Dark Matter and Cosmic Phenomena #Particle physics theoretical and experimental studies #hep-th
paper · pdf · doi:10.1016/j.aop.2003.12.010
published as Annals Phys. 311 (2004) 288-313 · 24 pages, 3 figures
arxiv created 2003/09/06 · openalex publication_date 2004/02/05 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In higher dimensional field theories with compactified dimensions there are three standard ways to do perturbative calculations: i) by the summation over Kaluza-Klein towers; ii) by the summation over winding numbers making use of the Poisson-resummation formula and iii) by using mixed propagators, where the coordinates of the four infinite dimensions are Fourier-transformed to momentum space while those of the compactified dimensions are kept in configuration space. The third method is broadly used in finite temperature field theory calculations. One of its advantage is that one can easily separate the ultraviolet divergent terms of the uncompactified theory from the non-local finite corrections arising from windings around the compact dimensions. In this note we demonstrate the use of this formalism by calculating one-loop self-energy corrections in a 5D theory formulated on the manifold M4 ⊗ S1 and on the orbifold M4 ⊗ S1/Z2.