PoS - Proceedings of Science
Volume 449 - The European Physical Society Conference on High Energy Physics (EPS-HEP2023) - T11 Quantum Field and String Theory
One-loop RG flow for adjoint multiscalar gauge theory
N. Flodgren
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Pre-published on: January 31, 2024
Published on: March 21, 2024
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.
DOI: https://doi.org/10.22323/1.449.0507
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