Instantaneous Bethe-Salpeter Kernel for the Lightest Pseudoscalar Mesons

Abstract

Starting from a phenomenologically successful, numerical solution of the Dyson-Schwinger equation that governs the quark propagator, we reconstruct in detail the interaction kernel that has to enter the instantaneous approximation to the Bethe-Salpeter equation to allow us to describe the lightest pseudoscalar mesons as quark-antiquark bound states exhibiting the (almost) masslessness necessary for them to be interpretable as the (pseudo) Goldstone bosons related to the spontaneous chiral symmetry breaking of quantum chromodynamics.

arXiv comment12 pages, 4 figures

References in corpus (11)

• pi- and K-meson Bethe-Salpeter Amplitudes
• Pion mass and decay constant
• Semirelativistic Treatment of Bound States
• On the instantaneous Bethe-Salpeter equation
• Analytic Bethe-Salpeter Description of the Lightest Pseudoscalar Mesons
• Exact Solutions of Bethe-Salpeter Equations with Instantaneous Interactions
• Stability in the instantaneous Bethe-Salpeter formalism: harmonic-oscillator reduced Salpeter equation
• Light Pseudoscalar Mesons in Bethe-Salpeter Equation with Instantaneous Interaction
• Bound States by the Spinless Salpeter Equation
• Stability in the instantaneous Bethe-Salpeter formalism: reduced exact-propagator bound-state equation with harmonic interaction
• Stability of Salpeter Solutions

Cited by in corpus (8)

• Spectra of heavy-light mesons in a relativistic model
• Instantaneous Bethe-Salpeter View of Goldstone-Type Pseudoscalar Mesons
• Janus-Facedness of the Pion: Analytic Instantaneous Bethe-Salpeter Models
• Goldstonic pseudoscalar mesons in Bethe-Salpeter-inspired setting
• Goldstone-Type Pseudoscalar Mesons: Instantaneous Bethe-Salpeter Models
• Mesons and Resonances in Relativistic Quantum Mechanics For the Lorentz-Scalar Potential
• Complex Masses of Mesons and Resonances In Relativistic Quantum Mechanics
• Simplified Bethe-Salpeter Description of Basic Pseudoscalar-Meson Features