2002/05/31 by Yu. A. Simonov · 18 citations
Physics and Astronomy · #Baryon #Feynman diagram #Formalism (music) #Gauge theory #Hamiltonian (control theory) #High-Energy Particle Collisions Research #Mathematical physics #Particle physics #Particle physics theoretical and experimental studies #Path integral formulation #Physics #Propagator #Quantum Chromodynamics and Particle Interactions #Quantum electrodynamics #Quantum mechanics #Quark #Wilson loop #hep-ph
paper · pdf · doi:10.1134/1.1553507
published in Physics of Atomic Nuclei 66(2), 338-354 (Pleiades Publishing) · 36 pages, journal version
openalex publication_date 2003/02/01 · arxiv created 2003/07/03 · arxiv updated 2014/11/17 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
The field-correlator method is used to calculate nonperturbative dynamics of quarks in a baryon. The general expression for the 3 q Green’s function is obtained using the Fock-Feynman-Schwinger (world-line) path-integral formalism, where all dynamics is contained in the 3 q Wilson loop with spin-field insertions. Using the lowest cumulant contribution for the Wilson loop, one obtains a Y -shaped string potential vanishing at the string-junction position. Using the einbein formalism for the quark kinetic terms, one automatically obtains constituent quark masses, calculable through the string tension. The resulting effective action for 3 q plus Y -shaped strings is quantized in the path-integral formalism to produce two versions of Hamiltonian: one is in the c.m. and the other is in the light-cone system. The hyperspherical formalism is used to calculate masses and wave functions. Simple estimates in the lowest approximation yield baryon masses in good agreement with experiment without fitting parameters.