Study of the Question of an Ultraviolet Zero in the Six-Loop Beta Function of the O($N$) $\lambda |\vec \phi|^4$ Theory
High Energy Physics - Theory
2017-10-23 v1 High Energy Physics - Lattice
High Energy Physics - Phenomenology
Abstract
We study the possibility of an ultraviolet (UV) zero in the six-loop beta function of an O() field theory in spacetime dimensions. For general , in the range of values of where a perturbative calculation is reliable, we find evidence against such a UV zero in this six-loop beta function.
Cite
@article{arxiv.1707.06248,
title = {Study of the Question of an Ultraviolet Zero in the Six-Loop Beta Function of the O($N$) $\lambda |\vec \phi|^4$ Theory},
author = {Robert Shrock},
journal= {arXiv preprint arXiv:1707.06248},
year = {2017}
}
Comments
15 pages, 1 figure