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arXiv · 1411.7619

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

Milan Vujinovic·Richard Williams
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Abstract

By using the Dyson-Schwinger/Bethe-Salpeter formalism in Euclidean spacetime, we calculate the ground state spectrum of $J\leq 1$ 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.

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Milan Vujinovic, Richard Williams. 2015-04-24. Hadronic bound-states in SU(2) from Dyson--Schwinger Equations. https://doi.org/10.1140/epjc%2Fs10052-015-3324-x

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