Dyson--Schwinger Approach to Hamiltonian QCD

Abstract

Dyson--Schwinger equations are an established, powerful non-perturbative tool for QCD. In the Hamiltonian formulation of a quantum field theory they can be used to perform variational calculations with non-Gaussian wave functionals. By means of the DSEs the various $n$-point functions, needed in expectation values of observables like the Hamilton operator, can be thus expressed in terms of the variational kernels of our trial ansatz. Equations of motion for these variational kernels are derived by minimizing the energy density and solved numerically.

Talk given by D. Campagnari at XIIth Quark Confinement and the Hadron Spectrum, August 28-September 04, 2016, Thessaloniki, Greece, submitted to the proceedings

References in corpus (11)

• Confining Solution of the Dyson-Schwinger Equations in Coulomb Gauge
• Coulomb gauge gluon propagator and the Gribov formula
• Subcritical solution of the Yang-Mills Schroedinger equation in the Coulomb gauge
• Non-Gaussian wave functionals in Coulomb gauge Yang--Mills theory
• Propagator Dyson-Schwinger Equations of Coulomb Gauge Yang-Mills Theory Within the First Order Formalism
• The Coulomb gauge ghost Dyson-Schwinger equation
• Two-Point Functions of Coulomb Gauge Yang-Mills Theory
• Resolving temporal Gribov copies in Coulomb gauge Yang-Mills theory
• Improved variational approach to QCD in Coulomb gauge
• Revised variational approach to QCD in Coulomb gauge
• Vertex functions of Coulomb gauge Yang--Mills theory