Dimensional continuation without perturbation theory
High Energy Physics - Theory
2015-06-26 v1
Abstract
A formula is proposed for continuing physical correlation functions to non-integer numbers of dimensions, expressing them as infinite weighted sums over the same correlation functions in arbitrary integer dimensions. The formula is motivated by studying the strong coupling expansion, but the end result makes no reference to any perturbation theory. It is shown that the formula leads to the correct dimension dependence in weak coupling perturbation theory at one loop.
Cite
@article{arxiv.hep-th/9503007,
title = {Dimensional continuation without perturbation theory},
author = {Vipul Periwal},
journal= {arXiv preprint arXiv:hep-th/9503007},
year = {2015}
}
Comments
6 pages, plain TeX