Infrared fixed point in the massless twelve-flavor SU(3) gauge-fermion system
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 function. We identify an infrared fixed point at in the GF scheme and calculate the leading irrelevant critical exponent . Our prediction for is consistent with available literature at the level.
Keywords
Cite
@article{arxiv.2402.18038,
title = {Infrared fixed point in the massless twelve-flavor SU(3) gauge-fermion system},
author = {Curtis Taylor Peterson and Anna Hasenfratz},
journal= {arXiv preprint arXiv:2402.18038},
year = {2024}
}
Comments
11 pages, 9 figures, 1 table. Second version of the paper. Improves the Bayesian model averaging, includes a plot of the gradient-flowed Polyakov loop, and corrects a reference mistake to Phys. Rev. D 95, 105004. Result for the fixed point coupling and the leading irrelevant critical exponent is consistent with v1 paper