Abstract
We study the scalar φ3 theory above six dimensions. The beta function \( \beta (g)=-\in g-\frac{3}{4}{g}^3 \) in d = 6 − 2ϵ dimensions has a UV fixed point when ϵ < 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 ϕ3 theory above six dimensions exist.
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Rong, J., Zhu, J. On the ϕ3 theory above six dimensions. J. High Energ. Phys. 2020, 151 (2020). https://doi.org/10.1007/JHEP04(2020)151
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DOI: https://doi.org/10.1007/JHEP04(2020)151