Confinement, Diquarks and Goldstone's theorem

Abstract

Determinations of the gluon propagator in the continuum and in lattice simulations are compared. A systematic truncation procedure for the quark Dyson-Schwinger and bound state Bethe-Salpeter equations is described. The procedure ensures the flavour-octet axial-vector Ward identity is satisfied order-by-order, thereby guaranteeing the preservation of Goldstone's theorem; and identifies a mechanism that simultaneously ensures the absence of diquarks in QCD and their presence in QCD${}^{N_c=2}$, where the colour singlet diquark is the ``baryon'' of the theory.

7 pages, LaTeX, uses sprocl.sty and epsfig, contribution to the proceedings of ``Quark Confinement and the Hadron Spectrum''

References in corpus (3)

• Continuum study of deconfinement at finite temperature
• Pion Loop Contribution to Rho-Omega Mixing and Mass Splitting
• Asymptotic solution of Schwinger -- Dyson equation for the gluon propagator in the infrared region

Cited by in corpus (12)

• Dyson-Schwinger Equations: Density, Temperature and Continuum Strong QCD
• Studies of Nucleon Resonance Structure in Exclusive Meson Electroproduction
• Bethe-Salpeter equation and a nonperturbative quark-gluon vertex
• Nucleon and Roper electromagnetic elastic and transition form factors
• Symmetry preserving truncations of the gap and Bethe-Salpeter equations
• Mass-dependence of pseudoscalar meson elastic form factors
• Selected highlights from the study of mesons
• Schwinger functions and light-quark bound states, and sigma terms
• eta and eta' in a coupled Schwinger-Dyson and Bethe-Salpeter approach
• K_{l 3} and π_{e 3} transition form factors
• Goldstone Boson's Valence-Quark Distribution
• Derivation of the gap and Bethe-Salpeter equations at large $N_c$ limit and symmetry preserving truncations