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arXiv · 1703.09685

Renormalization of scalar field theories in rational spacetime dimensions

J. A. Gracey
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Abstract

We renormalize various scalar field theories with a $ϕ^n$ self interaction such as $n$ $=$ $5$, $7$ and $9$ in their respective critical dimensions which are non-integer. The renormalization group functions for the $O(N)$ symmetric extensions are also computed.

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J. A. Gracey. 2022-05-16. Renormalization of scalar field theories in rational spacetime dimensions. https://arxiv.org/abs/1703.09685

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