2009/06/27 by F. C. Khanna, Khanna, F. C., A. P. C. Malbouisson +5
Mathematics · Physics and Astronomy · #Advanced Algebra and Geometry #Advanced Operator Algebra Research #Advanced Topics in Algebra #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Mathematical Physics (math-ph) #hep-th #math-ph #math.MP
paper · pdf · doi:10.48550/arxiv.0906.5080
20 pages, 2 figures
arxiv created 2009/06/27 · openalex publication_date 2009/06/27 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We first briefly review some aspects of the techniques of dealing with ultraviolet divergences in Feynman amplitudes in an Euclidian D-dimensional space-time. Next we consider compactification of a d-dimensional (d≤ D) subspace. This includes effects of temperature and of compactification of d-1 spatial coordinates. Then we show how dimensional renormalization can be implemented for a field theory defined on this Euclidian space-time with a compactified subspace.