Baby steps beyond rainbow-ladder

TL;DR

This paper advances the theoretical understanding of light mesons by incorporating unquenching effects and gluon self-interactions into Dyson-Schwinger and Bethe-Salpeter equations, moving towards an ab initio approach.

Contribution

It introduces corrections beyond single gluon exchange, including pion exchange and gluon self-interactions, in the nonperturbative DSE/BSE framework for light mesons.

Findings

Enhanced description of light mesons with unquenching effects.

Inclusion of pion exchange influences meson properties.

Progress towards ab initio calculations of mesons.

Abstract

We discuss the impact of including corrections beyond single gluon exchange in light mesons within the nonperturbative framework of Dyson-Schwinger equations (DSE) and Bethe-Salpeter equations (BSE). We do this by considering unquenching effects in the form of hadronic resonance contributions, notably pion exchange, and by the inclusion of the dominant gluon self-interactions to the quark-gluon vertex. Thus we make steps towards an ab initio description of light mesons by functional methods.