Abstract
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.
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Spengler, F., Campagnari, D. & Reinhardt, H. Dynamical quark mass generation in QCD3 within the Hamiltonian approach in Coulomb gauge. Eur. Phys. J. Spec. Top. 229, 3351–3361 (2020). https://doi.org/10.1140/epjst/e2020-000086-4
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DOI: https://doi.org/10.1140/epjst/e2020-000086-4