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

Author:

Curtis Taylor Peterson, Anna Hasenfratz

Keyword:

High Energy Physics - Lattice, High Energy Physics - Lattice (hep-lat), High Energy Physics - Phenomenology (hep-ph), High Energy Physics - Theory (hep-th)

journal:

FERMILAB-PUB-24-0098-V

date:

2024-02-28 00:00:00

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 $g^2_{\mathrm{GF}\star}=6.69(68)$ in the GF scheme and calculate the leading irrelevant critical exponent $\gamma_{g}^{\star}=0.204(36)$. Our prediction for $\gamma_{g}^{\star}$ is consistent with available literature at the $1\mbox{-}2\sigma$ level.

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