Dimensional renormalizability in compactified spaces

F. C. Khanna; A. P. C. Malbouisson; J. M. C. Malbouisson; A. E. Santana

Dimensional renormalizability in compactified spaces

High Energy Physics - Theory 2009-10-15 v1 Mathematical Physics math.MP

Authors: F. C. Khanna , A. P. C. Malbouisson , J. M. C. Malbouisson , A. E. Santana

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.

Keywords

renormalization in quantum field theory kaluza-klein theory

Cite

@article{arxiv.0906.5080,
  title  = {Dimensional renormalizability in compactified spaces},
  author = {F. C. Khanna and A. P. C. Malbouisson and J. M. C. Malbouisson and A. E. Santana},
  journal= {arXiv preprint arXiv:0906.5080},
  year   = {2009}
}

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20 pages, 2 figures

Dimensional renormalizability in compactified spaces

Abstract

Keywords

Cite

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