Infrared enhanced analytic coupling and chiral symmetry breaking in QCD

Abstract

We study the impact on chiral symmetry breaking of a recently developed model for the QCD analytic invariant charge. This charge contains no adjustable parameters, other than the QCD mass scale $\Lambda$, and embodies asymptotic freedom and infrared enhancement into a single expression. Its incorporation into the standard form of the quark gap equation gives rise to solutions for the dynamically generated mass that display a singular confining behaviour at the origin. Using the Pagels-Stokar method we relate the obtained solutions to the pion decay constant $f_{\pi }$, and estimate the scale parameter $\Lambda$, in the presence of four active quarks, to be about 880 MeV.

arXiv comment14 pages, 3 figures; to appear in J. Phys. G

References in corpus (21)

• Big Bang Nucleosynthesis (in "The Review of Particle Properties" 2004)
• 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
• Analytic Model for the QCD Running Coupling with Universal ${\bar{\alpha }}_s(0)$ Value
• Analytic Perturbation Theory in analyzing some QCD observables
• Analytic Invariant Charge in QCD
• Quark-antiquark potential in the analytic approach to QCD
• Analytic Approach in Quantum Chromodynamics
• Vector and axial-vector correlators in a nonlocal chiral quark model
• New analytic running coupling in spacelike and timelike regions
• Adler function and hadronic contribution to the muon g-2 in a nonlocal chiral quark model
• All-orders infrared freezing of observables in perturbative QCD
• Tracking QCD-Instantons
• Renorm-group, Causality and Non-power Perturbation Expansion in QFT
• Analyticity and Minimality of Nonperturbative Contributions in Perturbative region for ${\bar{\alpha }}_s$
• Nonperturbative aspects of the QCD analytic invariant charge
• Investigation of a new analytic running coupling in QCD
• Critical coupling for dynamical chiral-symmetry breaking with an infrared finite gluon propagator
• New analytic running coupling in QCD: higher loop levels
• Compatibility of a model for the QCD-Pomeron and chiral-symmetry breaking phenomenologies
• Critical coupling for chiral symmetry breaking in QCD motivated models

Cited by in corpus (42)

• The QCD Running Coupling
• On the running coupling constant in QCD
• Chiral symmetry breaking with lattice propagators
• QCD Analytic Perturbation Theory. From integer powers to any power of the running coupling
• Gauge Sector Dynamics in QCD
• Global Fractional Analytic Perturbation Theory in QCD with Selected Applications
• Quark gap equation with non-abelian Ball-Chiu vertex
• An approach for evaluation of observables in analytic versions of QCD
• Extended analytic QCD model with perturbative QCD behavior at high momenta
• Bjorken polarized sum rule and infrared-safe QCD couplings
• Nearly perturbative lattice-motivated QCD coupling with zero IR limit
• Reconciling the analytic QCD with the ITEP operator product expansion philosophy
• QCDMAPT: program package for Analytic approach to QCD
• anQCD: a Mathematica package for calculations in general analytic QCD models
• Simple analytic QCD model with perturbative QCD behavior at high momenta
• Dispersive approach to QCD and inclusive tau lepton hadronic decay
• Operator Product Expansion with analytic QCD in tau decay physics
• Hadronic vacuum polarization function within dispersive approach to QCD
• Calculation of binding energies and masses of quarkonia in analytic QCD models
• Analyticity properties of three-point functions in QCD beyond leading order
• Synthetic Running Coupling of QCD
• Renormalon-motivated evaluation of QCD observables
• Electron-positron annihilation into hadrons at the higher-loop levels
• Bjorken sum rule in QCD frameworks with analytic (holomorphic) coupling
• How to perform QCD analysis of DIS in Analytic Perturbation Theory
• Lattice-motivated holomorphic nearly perturbative QCD
• Quark gap equation within the analytic approach to QCD
• Lattice-motivated QCD coupling and hadronic contribution to muon $g-2$
• Explicit form of the R-ratio of electron-positron annihilation into hadrons
• Perturbative QCD in acceptable schemes with holomorphic coupling
• Inclusive tau lepton hadronic decay in vector and axial-vector channels within dispersive approach to QCD
• Dispersive approach to QCD: tau lepton hadronic decay in vector and axial-vector channels
• Impact of the pion mass on nonpower expansion for QCD observables
• Nonsinglet polarized nucleon structure function in infrared-safe QCD
• Evaluation of neutrinoless double beta decay: QCD running to sub-GeV scales
• A nonperturbative model for the strong running coupling within potential approach
• Pions and excited scalars in Minkowski space DSBSE formalism
• Hadronic contributions to electroweak observables within DPT
• Non-leptonic annihilation decays of B mesons with a natural infrared cutoff
• Dispersive approach to QCD and hadronic contributions to electroweak observables
• pQCD running couplings finite and monotonic in the infrared: when do they reflect the holomorphic properties of spacelike observables?
• R-ratio of electron-positron annihilation into hadrons: higher-order pi2-terms