Quark self-energy

Journal Article · Thu Jan 15 04:00:00 EST 1976 · Phys. Rev., D, v. 13, no. 2, pp. 513-522

DOI:https://doi.org/10.1103/PhysRevD.13.513· OSTI ID:4018120

Stuller, R L

A model of colored quarks interacting through non-Abelian vector gauge potentials is analyzed. An analogy with the Kondo effect of solid-state physics is exploited to suggest approximations to the coupled integral equations for the quark field two-point function. Conditions are described for which the self- consistently determined quark mass equals infinity. A covariant bound-state equation for color singlet mesons is derived which is essentially three- dimensional. The internal Minkowski space, parametrized by the relative coordinate four-vector x/sup mu/, is replaced by a hyperplane in that space defined by x/sup mu/P/sub mu/ = 0, P/sup mu/ being the four-momentum of the meson. Thus, ''quark confinement'' to the ''inside'' of the meson induces a contraction of the four-dimensional, internal Minkowski space to that hypersurface orthogonal to P/sup mu/. Some pecularities of the equation are briefly discussed. (AIP)

• Research Organization: Physics Department, Imperial College, London SW7 2BZ, England
• Sponsoring Organization: USDOE
• NSA Number: NSA-33-031362
• OSTI ID: 4018120
• Journal Information: Phys. Rev., D, v. 13, no. 2, pp. 513-522, Journal Name: Phys. Rev., D, v. 13, no. 2, pp. 513-522; ISSN PRVDA
• Country of Publication: United States
• Language: English

Related Subjects

*COLOR MODEL-- QUARKS
*QUARKS-- SELF-ENERGY
641101*
BOUND STATE
LAGRANGIAN FUNCTION
MASS
N64210* --Physics (High Energy)--Particle Interactions & Properties (Theoretical)--General
SPINORS
SU-3 GROUPS