Study of the Six-Loop Beta Function of the $\lambda\phi^4_4$ Theory
High Energy Physics - Theory
2017-01-04 v1
Abstract
We investigate whether the six-loop beta function of the theory exhibits evidence for an ultraviolet zero. As part of our analysis, we calculate and analyze Pad\'e approximants to this beta function. Extending our earlier results at the five-loop level, we find that in the range of where the perturbative calculation of the six-loop beta function is reliable, the theory does not exhibit robust evidence for an ultraviolet zero.
Cite
@article{arxiv.1610.03733,
title = {Study of the Six-Loop Beta Function of the $\lambda\phi^4_4$ Theory},
author = {Robert Shrock},
journal= {arXiv preprint arXiv:1610.03733},
year = {2017}
}
Comments
7 pages latex, 2 figures