2011/04/15 by Zoltan Fodor, Zoltán Fodor, Kieran Holland +4 · 1 citation
Mathematics · Physics and Astronomy · #Chiral symmetry breaking #Conformal map #Fermion #Gauge theory #Geometry #Higgs boson #High-Energy Particle Collisions Research #Massless particle #Mathematics #Particle physics #Particle physics theoretical and experimental studies #Physics #Quantum Chromodynamics and Particle Interactions #Spontaneous symmetry breaking #Symmetry breaking #Theoretical physics #hep-lat #hep-ph
paper · pdf · doi:10.1016/j.physletb.2011.07.037
9 pages, 9 figures
arxiv created 2011/04/15 · openalex publication_date 2011/08/02 · arxiv updated 2015/05/27 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We report new results for a frequently discussed gauge theory with twelve fermion flavors in the fundamental representation of the SU(3) color gauge group. The model, controversial with respect to its conformality, is important in non-perturbative studies searching for a viable composite Higgs mechanism Beyond the Standard Model (BSM). To resolve the controversy, we subject the model to opposite hypotheses inside and outside of the conformal window. In the first hypothesis we test chiral symmetry breaking (χ\rm SB) with its Goldstone spectrum, Fπ, the χ\rm SB condensate, and several composite hadron states as the fermion mass is varied in a limited range with our best effort to control finite volume effects and extrapolation to the massless chiral limit. Supporting results for χ\rm SB from the running coupling based on the force between static sources and some preliminary evidence for the finite temperature transition are also presented. In the second test for the alternate hypothesis we probe conformal behavior driven by a single anomalous mass dimension under the assumption of unbroken chiral symmetry. Our results show a very low level of confidence in the conformal scenario. Staggered lattice fermions with stout-suppressed taste breaking are used throughout the simulations.