Dynamical quark mass generation in QCD3 within the Hamiltonian approach in Coulomb gauge
Institut für Theoretische Physik, Universität Tübingen,
Auf der Morgenstelle 14,
a e-mail: firstname.lastname@example.org
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
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