2019/12/16 by Zoltán Fodor, Kieran Holland, Fodor, Zoltan +7
Physics and Astronomy · #Black Holes and Theoretical Physics #FOS: Physical sciences #High Energy Physics - Lattice (hep-lat) #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions
paper · pdf · doi:10.48550/arxiv.1912.07653
openalex publication_date 2019/12/16 · openalex created_date 2022/07/19 · openalex updated_date 2026/07/28
We present updated results for the non-perturbative β-function of SU(3) gauge theories with Nf = 12 or 10 massless flavors in the fundamental rep or Nf = 2 in the sextet rep, measured with staggered fermions. New data at finer lattice spacing and our previously introduced method, the infinitesimal β-function, strengthen the case that the Nf = 12 model has no infrared fixed point up to g2 = 7.2. We show how underestimated cutoff dependence in one domain wall study for Nf = 10 has been corrected, which is now consistent with staggered results showing a monotonically increasing β-function. A consistent theme is that too small volumes can lead to apparent fixed points which vanish towards the continuum limit. We also apply the infinitesimal β-function method to the Nf = 10 model, finding consistent behavior with the finite-step β-function. Ongoing simulations and analysis for the sextet model confirm our previous results from weak to strong coupling with a non-zero β-function throughout, in quantitative difference to Wilson fermion simulations~\citeHasenfratz:2015ssa.