Hamiltonian Dyson--Schwinger Equations of QCD
Davide Campagnari, Hugo Reinhardt
TL;DR
This paper extends the Hamiltonian Dyson-Schwinger equations framework to full QCD, deriving and analyzing the quark and gluon gap equations, and exploring quark-gluon interactions in different momentum regimes.
Contribution
It generalizes a method for non-Gaussian wave functionals to full QCD, deriving the Hamiltonian Dyson-Schwinger equations and analyzing quark-gluon dynamics.
Findings
Derived the Hamiltonian Dyson-Schwinger equations for QCD.
Analyzed quark and gluon gap equations in IR and UV regimes.
Investigated the back-reaction of quarks on the gluon sector.
Abstract
The general method for treating non-Gaussian wave functionals in the Hamiltonian formulation of a quantum field theory, which was previously developed and applied to Yang--Mills theory in Coulomb gauge, is generalized to full QCD. The Hamiltonian Dyson-Schwinger equations as well as the quark and gluon gap equations are derived and analysed in the IR and UV momentum regime. The back-reaction of the quarks on the gluon sector is investigated.
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Taxonomy
TopicsQuantum Chromodynamics and Particle Interactions · High-Energy Particle Collisions Research · Atomic and Subatomic Physics Research