English

Hadronic bound-states in SU(2) from Dyson--Schwinger Equations

High Energy Physics - Phenomenology 2015-04-27 v2 High Energy Physics - Lattice

Abstract

By using the Dyson-Schwinger/Bethe-Salpeter formalism in Euclidean spacetime, we calculate the ground state spectrum of J1J\leq 1 hadrons in an SU(2) gauge theory with 2 fundamental fermions. We show that the rainbow-ladder truncation, commonly employed in QCD studies, is unsuitable for a description of an SU(2) theory. This we remedy by truncating at the level of the quark-gluon vertex Dyson-Schwinger equation in a diagrammatic expansion. Results obtained within this novel approach show good agreement with lattice studies. These findings emphasize the need to use techniques more sophisticated than rainbow-ladder when investigating generic strongly interacting gauge theories.

Keywords

Cite

@article{arxiv.1411.7619,
  title  = {Hadronic bound-states in SU(2) from Dyson--Schwinger Equations},
  author = {Milan Vujinovic and Richard Williams},
  journal= {arXiv preprint arXiv:1411.7619},
  year   = {2015}
}

Comments

9 pages, 11 figures

R2 v1 2026-06-22T07:14:30.124Z