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arXiv · 0906.5080

Dimensional renormalizability in compactified spaces

F. C. Khanna·A. P. C. Malbouisson·J. M. C. Malbouisson·A. E. Santana
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Abstract

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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F. C. Khanna, A. P. C. Malbouisson, J. M. C. Malbouisson, A. E. Santana. 2009-06-27. Dimensional renormalizability in compactified spaces. https://arxiv.org/abs/0906.5080

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