Higher order heavy quark Green's functions in Coulomb gauge
arXiv:1103.4786 · doi:10.1103/PhysRevD.83.125018
Abstract
The Dyson-Schwinger equation for the 4-point quark Green's functions is studied. In the limit of the heavy quark mass and with the truncation to include only the dressed two point functions for the Yang-Mills sector, we provide an exact solution for the 4-point quark Green's functions, in both quark-antiquark and diquark channels, and show that the corresponding poles relate to the bound state energy of the heavy quark systems. Moreover, a natural separation between physical and unphysical poles in the Green's functions emerges.
arXiv comment21 pages, 10 figures
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- Leading order infrared quantum chromodynamics in Coulomb gauge
- Masses of J^PC =1^-+ exotic quarkonia in a Bethe-Salpeter-equation approach
- S-matrix formulation of thermodynamics with N-body scatterings
- Light-quarkonium spectra and orbital-angular-momentum decomposition in a Bethe-Salpeter-equation approach
- Dyson-Schwinger approach to strongly coupled theories
- Bethe-Salpeter equation at leading order in Coulomb gauge
- Dyson--Schwinger approach to Hamiltonian Quantum Chromodynamics
- Quark sector of Coulomb gauge Quantum Chromodynamics