Dimensional renormalizability in compactified spaces

Details Dimensional renormalizability in compactified spaces Dimensional renormalizability in compactified spaces

2009-06-27

arxiv.org/abs/0906.5080v1

Physics

High Energy Physics

High Energy Physics - Theory

20 pages, 2 figures

Scientific paper

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 ($d\leq D$) 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.

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