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arXiv · 2311.05993

One-loop RG Flow for Adjoint Multiscalar Gauge Theory

Nadia Flodgren
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Abstract

We study the one-loop renormalisation of 4d SU(N) Yang-Mills theory with $M$ adjoint representation scalar multiplets. We calculate the coupled one-loop renormalization group flows for this theory by developing an algebraic description, which we find to be characterised by a non-associative algebra of marginal couplings. The 4d one-loop beta function of the gauge coupling $g^2$ vanishes for the case $M = 22$, which is intriguing for string theory. There are real fixed flows (fixed points of $\lambda/g^2$) only for $M\geq406$, rendering one-loop fixed points of the gauge coupling and scalar couplings incompatible.

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Nadia Flodgren. 2023-11-10. One-loop RG Flow for Adjoint Multiscalar Gauge Theory. https://arxiv.org/abs/2311.05993

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