On the Quark Selfenergy

Apr, 1975
27 pages
Published in:
  • Phys.Rev.D 13 (1976) 513
Report number:
  • ICTP-74-14

Citations per year

1976198119861991199601234
Abstract: (APS)
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 xμ, is replaced by a hyperplane in that space defined by xμPμ=0, Pμ 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 Pμ. Some pecularities of the equation are briefly discussed.
  • QUARK: COLOR
  • PROPAGATOR: RENORMALIZATION
  • GAUGE FIELD THEORY: NONABELIAN
  • QUARK: MASS
  • MASS: QUARK
  • MODEL: BOUND STATE
  • MESON: COLORED PARTICLE
  • QUARK: CONFINEMENT
  • FIELD THEORETICAL MODEL: YANG-MILLS
  • MODEL: GLUON