Solving the Bethe-Salpeter equation for a pseudoscalar meson in Minkowski space

Abstract

A new method of solution of the Bethe-Salpeter equation for a pseudoscalar quark-antiquark bound state is proposed. With the help of an integral representation, the results are directly obtained in Minkowski space. Dressing of Green's functions is naturally taken into account, thus providing the possible inclusion of a running coupling constant as well as quark propagators. First numerical results are presented for a simplified ladder approximation.

References in corpus (5)

• Pseudoscalar Meson Radial Excitations
• Electromagnetic properties of ground and excited state pseudoscalar mesons
• Bethe-Salpeter Meson Masses Beyond Ladder Approximation
• Dynamical chiral symmetry breaking with Minkowski space integral representations
• Implications of analyticity to solution of Schwinger-Dyson equations in Minkowski space

Cited by in corpus (21)

• 50 Years of Quantum Chromodynamics
• Spectra of heavy quarkonia in a Bethe-Salpeter-equation approach
• Quantitative studies of the homogeneous Bethe-Salpeter Equation in Minkowski space
• Solving Bethe-Salpeter equation for two fermions in Minkowski space
• Two-body scattering states in Minkowski space and the Nakanishi integral representation onto the null plane
• Bethe-Salpeter equation for doubly heavy baryons in the covariant instantaneous approximation
• Solutions of the Bethe-Salpeter equation in Minkowski space and applications to electromagnetic form factors
• Solving Bethe-Salpeter scattering state equation in Minkowski space
• Going to the light front with contour deformations
• Quark propagator in Minkowski space
• Fermion and Photon gap-equations in Minkowski space within the Nakanishi Integral Representation method
• Bethe-Salpeter scattering amplitude in Minkowski space
• Transition electromagnetic form factor and current conservation in the Bethe-Salpeter approach
• Zero energy scattering calculation in Euclidean space
• The quark spectral functions and the Hadron Vacuum Polarization from application of DSEs in Minkowski space
• Pions and excited scalars in Minkowski space DSBSE formalism
• Present status of the Bethe-Salpeter approach in Minkowski space
• Gauge Technique approximation to the $\pi \gamma$ production and the pion transition form factor
• Scattering solutions of Bethe-Salpeter equation in Minkowski and Euclidean spaces
• Current conservation in electrodisintegration of a bound system in the Bethe-Salpeter approach
• Solution of the Bethe-Salpeter equation in Minkowski space for a two fermion system