Low-energy QCD: Chiral coefficients and the quark-quark interaction

Abstract

A detailed investigation of the low-energy chiral expansion is presented within a model truncation of QCD. The truncation allows for a phenomenological description of the quark-quark interaction in a framework which maintains the global symmetries of QCD and permits a $1/N_c$ expansion. The model dependence of the chiral coefficients is tested for several forms of the quark-quark interaction by varying the form of the running coupling, $\alpha (q^2)$, in the infrared region. The pattern in the coefficients that arises at tree level is consistent with large $N_c$ QCD, and is related to the model truncation.

28 pages, Latex, 6 postscript figures available on request to [email protected]

References in corpus (1)

• Model gluon propagator and pion and rho-meson observables

Cited by in corpus (23)

• Hadron Physics from the Global Color Model of QCD
• Nonlocal chiral quark models with wavefunction renormalization: sigma properties and π-πscattering parameters
• The mixed quark-gluon condensate from an effective quark-quark interaction
• The Calculation of Vacuum Properties from the Global Color Symmetry Model
• Structure of Vacuum Condensates
• Pion susceptibility of the QCD vacuum from an effective quark-quark interaction
• Mesons as qbar-q Bound States from Euclidean 2-Point Correlators in the Bethe-Salpeter Approach
• High-density nuclear matter with nonlocal confining solitons
• The hadron-quark transition with a lattice of nonlocal confining solitons
• Tensor susceptibility of the QCD vacuum from an effective quark-quark interaction
• Pregeometric modelling of the spacetime phenomenology
• The UA(1) problem and the role of correlated q qbar exchange in effective theories of QCD
• Quark propagator, instantons and gluon propagator
• Nonperturbative Aspect of Axial Vector Vertex in the Global Color Symmetry Model
• Calculation of some properties of the vacuum
• Critical coupling for chiral symmetry breaking in QCD motivated models
• Comment to: "A note on failure of the ladder approximation to QCD" [Phys. Lett. B 640 (2006) 196 ]
• Mixed tensor susceptibility of the QCD vacuum from effective quark-quark interactions
• Nonzero Mean Squared Momentum of Quarks in the Non-Perturbative QCD Vacuum
• The Pion Mass Formula
• Temperature dependence of Quark and Gluon condensate In The Dyson-Schwinger Equations At Finite Temperature
• Calculation of the Chiral Lagrangian Coefficients
• A Fluctuation Theory of Topological Susceptibility