Scale-setting, flavor dependence, and chiral symmetry restoration

2016/11/10 by Daniele Binosi, Craig D. Roberts, J. Rodrı́guez-Quintero +1 · 49 citations
Physics and Astronomy · #Chiral symmetry breaking #High-Energy Particle Collisions Research #Infrared fixed point #Mathematical physics #Particle physics #Particle physics theoretical and experimental studies #Physics #Quantum Chromodynamics and Particle Interactions #Quantum chromodynamics #Quark #Renormalization #Renormalization group #Symmetry breaking #hep-lat #hep-ph #nucl-th

paper · pdf · doi:10.1103/physrevd.95.114009

published in Physical review. D/Physical review. D. 95(11) (American Physical Society) · 8 pages, 4 figures, 2 tables

arxiv created 2016/11/10 · openalex created_date 2017/03/23 · openalex publication_date 2017/06/13 · arxiv updated 2017/06/21 · openalex updated_date 2026/08/05

Abstract

We determine the flavor dependence of the renormalization-group-invariant running interaction through judicious use of both unquenched Dyson-Schwinger equation and lattice results for QCD's gauge-sector two-point functions. An important step is the introduction of a physical scale setting procedure that enables a realistic expression of the effect of different numbers of active quark flavours on the interaction. Using this running interaction in concert with a well constrained class of dressed--gluon-quark vertices, we estimate the critical number of active lighter-quarks above which dynamical chiral symmetry breaking becomes impossible: n_f^cr\ensuremath≈9; and hence in whose neighborhood QCD is plausibly a conformal theory.

Citations

• Landau gauge ghost and gluon propagators inSU(2)lattice gauge theory: Gribov ambiguity reexamined
• Improved Landau gauge fixing and the suppression of finite-volume effects of the lattice gluon propagator
• Confinement phenomenology in the Bethe-Salpeter equation
• Dynamical mass generation in continuum quantum chromodynamics
• Refinement of the Gribov-Zwanziger approach in the Landau gauge: Infrared propagators in harmony with the lattice results
• The pion: an enigma within the Standard Model
• Big-Bang Nucleosynthesis

Cited by

• Discretization effects on renormalized gauge-field Green’s functions, scale setting, and the gluon mass
• Linking continuum and lattice quark mass functions via an effective charge
• New perspective on hybrid mesons