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

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 β function. The gradient flow β function exhibits a zero at gGF⋆2=6.60(62), implying that the system is infrared conformal. We calculate the leading irrelevant critical exponent γg⋆=0.199(32). Our prediction for γg⋆ is consistent with available literature at the 1−2σ level.; ; ; ; ; Published by the American Physical Society; 2024; ; ;

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