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Infrared fixed point in the massless twelve-flavor SU(3) gauge-fermion system

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arxiv 2402.18038 v2 pith:SGJVIUSB submitted 2024-02-28 hep-lat hep-phhep-th

Curtis Taylor Peterson , Anna Hasenfratz This is my paper · ORCID
classification hep-lathep-phhep-th
keywords fixedinfraredpointrenormalizationstarfermionsflowgamma
verification ladder T0 review T1 audit T2 compute T3 formal

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abstract

We present strong numerical evidence for the existence of an infrared fixed point in the renormalization group flow of the SU(3) gauge-fermion system with twelve massless fermions in the fundamental representation. Our numerical simulations using nHYP-smeared staggered fermions with Pauli-Villars improvement do not exhibit any first-order bulk phase transition in the investigated parameter region. We utilize an infinite volume renormalization scheme based on the gradient flow transformation to determine the renormalization group $\beta$ function. We identify an infrared fixed point at $g^2_{\mathrm{GF}\star}=6.60(62)$ in the GF scheme and calculate the leading irrelevant critical exponent $\gamma_{g}^{\star}=0.199(32)$. Our prediction for $\gamma_{g}^{\star}$ is consistent with available literature at the $1\mbox{-}2\sigma$ level.

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Cited by 5 Pith papers

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