Study of the Six-Loop Beta Function of the λϕ44λϕ^4_4 Theory

preprint2016arXivOpen access

Abstract

We investigate whether the six-loop beta function of the λϕ44λϕ^4_4 theory exhibits evidence for an ultraviolet zero. As part of our analysis, we calculate and analyze Padé approximants to this beta function. Extending our earlier results at the five-loop level, we find that in the range of λλ where the perturbative calculation of the six-loop beta function is reliable, the theory does not exhibit robust evidence for an ultraviolet zero.

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