Nonperturbative quark dynamics in a baryon

Abstract

Field-correlator method is used to calculate nonperturbative dynamics of quarks in a baryon. General expression for the 3q Green's function is obtained using Fock-Feynman-Schwinger (world-line) path integral formalism, where all dynamics is contained in the 3q Wilson loop with spin-field insertions. Using lowest cumulant contribution for Wilson loop one obtains an Y-shaped string with a deep hole at the string junction position. Using einbein formalism for the quark kinetic terms one automatically obtains constituent quark masses, calculable through the string tension. Resulting effective action for 3q plus Y-shaped strings is quantized in the path-integral formalism to produce two versions of Hamiltonian,one -in the c.m. and another in the light-cone system. Hyperspherical formalism is used to calculate masses and wave functions. Simple estimates in lowest approximation yield baryon masses in good agreement with experiment without fitting parameters.

36 pages, journal version

References in corpus (3)

• Masses of the 70- Baryons in Large Nc QCD
• Nonperturbative corrections to the quark self-energy
• Freezing of QCD coupling affects the short distance static potential

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• Neutron in Strong Magnetic Fields
• Theory of hadron decay into baryon-antibaryon final state
• Accuracy of Auxiliary Field Approach for Baryons
• Chiral symmetry breaking and the Lorentz nature of confinement
• The fundamental scale of QCD
• Analysis of the QCD spectrum and chiral symmetry breaking with varying quark masses
• Baryons in the Field Correlator Method: Effects of the Running Strong Coupling
• Proton and neutron form factors with quark orbital excitations
• Pentaquarks in string dynamics
• Understanding two slopes in the pp (p\bar p) differential cross sections