# XIIIth Quark Confinement and the Hadron Spectrum

31 July 2018 to 6 August 2018
Maynooth University
Europe/Dublin timezone

## Variational and Dyson-Schwinger Equations of QCD

5 Aug 2018, 17:10
20m
Hall E (Arts Bldg.)

### Hall E

#### Arts Bldg.

Talk A: Vacuum structure and confinement

### Speaker

Davide Campagnari (Universität Tübingen)

### Description

Dyson--Schwinger equations are an established, powerful non-perturbative tool to investigate QCD. In the Hamiltonian formulation of a quantum field theory they allow variational calculations with non-Gaussian wave functionals: by means of 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. We determine the chiral condensate from the renormalized quark propagator and investigate the quark-gluon vertex.

### Primary authors

Davide Campagnari (Universität Tübingen) Hugo Reinhardt (Universität Tübingen)