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arXiv · 1610.03733

Study of the Six-Loop Beta Function of the $\lambda\phi^4_4$ Theory

Robert Shrock
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Abstract

We investigate whether the six-loop beta function of the $\lambda \phi^4_4$ 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 $\lambda$ 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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Robert Shrock. 2016-10-12. Study of the Six-Loop Beta Function of the $\lambda\phi^4_4$ Theory. https://doi.org/10.1103/physrevd.94.125026

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