Pieter Maris

Dyson-Schwinger equations: A Tool for hadron physics

Dyson–Schwinger equations furnish a Poincare covariant framework within which to study hadrons. A particular feature is the existence of a nonperturbative, symmetry preserving truncation that enables the proof of exact results. The gap equation reveals that dynamical chiral symmetry breaking is tied to the long-range behavior of the strong interaction, which is thereby constrained by observables, and the pion is precisely understood, and seen to exist simultaneously as a Goldstone mode and a bound state of strongly dressed quarks. The systematic error associated with the simplest truncation has been quantified, and it underpins a one-parameter model efficacious in describing an extensive body of mesonic phenomena. Incipient applications to baryons have brought successes and encountered challenges familiar from early studies of mesons, and promise a covariant field theory upon which to base an understanding of contemporary large momentum transfer data.

Bethe-Salpeter study of vector meson masses and decay constants

The masses and decay constants of the light vector mesons

Pion mass and decay constant

\rho/\omega

Ab initio no-core full configuration calculations of light nuclei

,

The Quark photon vertex and the pion charge radius

\phi

Confinement and complex singularities in three-dimensional QED

and

Hamiltonian light-front field theory in a basis function approach

K^\star

Effective masses of diquarks

are studied within a ladder-rainbow truncation of the coupled Dyson-Schwinger and Bethe-Salpeter equations of QCD with a model 2-point gluon function. The approach is consistent with quark and gluon confinement, reproduces the correct one-loop renormalization group behavior of QCD, generates dynamical chiral symmetry breaking, and preserves the relevant Ward identities. The one phenomenological parameter and two current quark masses are fixed by requiring that the calculated

Few-nucleon systems with state-of-the-art chiral nucleon-nucleon forces

f_\pi, m_\pi

Accelerating configuration interaction calculations for nuclear structure

and