https://doi.org/10.1140/epjst/e2020-000086-4
Regular Article
Dynamical quark mass generation in QCD3 within the Hamiltonian approach in Coulomb gauge
Institut für Theoretische Physik, Universität Tübingen,
Auf der Morgenstelle 14,
72076
Tübingen, Germany
a e-mail: d.campagnari@uni-tuebingen.de
Received:
15
May
2020
Accepted:
27
October
2020
Published online: 21 December 2020
We investigate the equal-time (static) quark propagator in Coulomb gauge within the Hamiltonian approach to QCD in d = 2 spatial dimensions. Although the underlying Clifford algebra is very different from its counterpart in d = 3, the gap equation for the dynamical mass function has the same form. The additional vector kernel which was introduced in d = 3 to cancel the linear divergence of the gap equation and to preserve multiplicative renormalizability of the quark propagator makes the gap equation free of divergences also in d = 2.
© The Author(s) 2020
This is an Open Access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Open Access funding enabled and organized by Projekt DEAL.
