Chiral symmetry breaking in continuum QCD

Abstract

We present a quantitative analysis of chiral symmetry breaking in two-flavour continuum QCD in the quenched limit. The theory is set-up at perturbative momenta, where asymptotic freedom leads to precise results. The evolution of QCD towards the hadronic phase is achieved by means of dynamical hadronisation in the non-perturbative functional renormalisation group approach. We use a vertex expansion scheme based on gauge-invariant operators and discuss its convergence properties and the remaining systematic errors. In particular we present results for the quark propagator, the full tensor structure and momentum dependence of the quark-gluon vertex, and the four-fermi scatterings.

18 pages, 7 figures, additional figure, additional references

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• Nonperturbative Ball-Chiu construction of the three-gluon vertex
• Ghost dynamics in the soft gluon limit
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• Fluctuation-induced higher-derivative couplings and infrared dynamics of the Quark-Meson-Diquark Model
• Fixed Point Structure of Gradient Flow Exact Renormalization Group for Scalar Field Theories
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• The Equal-Time Quark Propagator in Coulomb Gauge
• Screened massive expansion of the quark propagator in the Landau gauge