Dynamical Chiral Symmetry Breaking in Quantum Chromo Dynamics: Delicate and Intricate
arXiv:2309.09679 · doi:10.3390/sym15091787
Abstract
Dynamical Chiral Symmetry Breaking (DCSB) in Quantum Chromo Dynamics (QCD) for the light quarks is an indispensable concept for understanding hadron physics, i.e., the spectrum and the structure of hadrons. In Functional Approaches to QCD the respective role of the quark propagator has been evident since the seminal work of Nambu and Jona-Lasinio has been recast in QCD's terms. It not only highlights one of the most important aspects of DCSB, the dynamical generation of constituent quark masses, but also makes plausible that DCSB is a robustly occurring phenomenon in QCD. The latter impression, however, changes when higher -point functions are taken into account. In particular, the quark-gluon vertex, i.e., the most elementary -point function describing the full, non-perturbative quark-gluon interaction, plays a dichotomous role: It is subject to DCSB as signalled by its scalar and tensor components but it is also a driver of DCSB due to the infrared enhancement of most of its components. Herein, the relevant self-consistent mechanism is elucidated. It is pointed out that recently obtained results imply that, at least in the covariant gauge, DCSB in QCD is located close to the critical point and is thus a delicate effect. And, requiring a precise determination of QCD's three-point functions, DCSB is established, in particular in view of earlier studies, by an intricate interplay of the self-consistently determined magnitude and momentum dependence of various tensorial components of the gluon-gluon and the quark-gluon interactions.
arXiv comment10 pages, 1 figure
References in corpus (31)
- Dyson-Schwinger Equations and the Application to Hadronic Physics
- The Infrared Behavior of QCD Green's Functions - Confinement, Dynamical Symmetry Breaking, and Hadrons as Relativistic Bound States
- Dyson-Schwinger Equations: Density, Temperature and Continuum Strong QCD
- Dyson-Schwinger equations: a tool for hadron physics
- Baryons as relativistic three-quark bound states
- Collective perspective on advances in Dyson-Schwinger Equation QCD
- Non-perturbative Propagators, Running Coupling and Dynamical Quark Mass of Landau gauge QCD
- Non-perturbative quark, gluon and meson correlators of unquenched QCD
- Light mesons in QCD and unquenching effects from the 3PI effective action
- Chiral phase structure of QCD with many flavors
- Lattice tests of beyond Standard Model dynamics
- Fully coupled functional equations for the quark sector of QCD
- Correlation functions of Landau gauge Yang-Mills theory
- Gauge Sector Dynamics in QCD
- Yang-Mills two-point functions in linear covariant gauges
- Recent developments in bound-state calculations using the Dyson-Schwinger and Bethe-Salpeter equations
- Schwinger mechanism in linear covariant gauges
- On the infrared behaviour of Gluons and Ghosts in Ghost-Antighost symmetric gauges
- Elucidating the effect of intermediate resonances in the quark interaction kernel on the time-like electromagnetic pion form factor
- Infrared Behaviour and Running Couplings in Interpolating Gauges in QCD
- Solving coupled Dyson--Schwinger equations on a compact manifold
- Yang-Mills propagators in linear covariant gauges from Nielsen identities
- Conformal window from conformal expansion
- Running coupling in the conformal window of large-Nf QCD
- How gauge covariance of the fermion and boson propagators in QED constrain the effective fermion-boson vertex
- Electron-Photon Vertex and Dynamical Chiral Symmetry Breaking in Reduced QED: An Advanced Study of Gauge Invariance
- Spectral dimension as a tool for analyzing non-perturbative propagators
- Three-point vertex functions in Yang-Mills Theory and QCD in Landau gauge
- Renormalizability of a generalized gauge fixing interpolating among the Coulomb, Landau and maximal Abelian gauges
- On the low-energy spectrum of an SU(2) gauge theory with dynamical fermions
- Renormalization in a Landau to Coulomb interpolating gauge in Yang-Mills theory