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arXiv · 2001.10864

On $\phi^3$ Theory Above Six Dimensions

Junchen Rong·Jierong Zhu
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Abstract

We study the scalar $\phi^3$ theory above six dimensions. The beta function $\beta(g)=-\epsilon g-\frac{3}{4}g^3$ in $d=6-2\epsilon$ dimensions has a UV fixed point when $\epsilon<0$. Like the $O(N)$ vector models above four dimensions, such a fixed point observed perturbatively in fact corresponds to a pair of complex CFTs separated by a branch cut. Using both the numerical bootstrap method and Gliozzi's fusion rule truncation method, we argue that the fixed points of the $\phi^3$ theory above six dimensions exist.

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Junchen Rong, Jierong Zhu. 2020-01-29. On $\phi^3$ Theory Above Six Dimensions. https://doi.org/10.1007/jhep04(2020)151

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