Abstract
We discuss the non-perturbative renormalization group evolution of the gauge coupling constant by using a truncated form of the functional flow equation for the effective average action of the Yang–Mills-gravity system. Our result is consistent with the conjecture that quantum Einstein gravity (QEG) is asymptotically safe and has a vanishing gauge coupling constant at the non-trivial fixed point.
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Daum, JE., Harst, U. & Reuter, M. Non-perturbative QEG corrections to the Yang–Mills beta function. Gen Relativ Gravit 43, 2393–2407 (2011). https://doi.org/10.1007/s10714-010-1032-2
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DOI: https://doi.org/10.1007/s10714-010-1032-2