Eur. Phys. J. C (2015) 75: 83
https://doi.org/10.1140/epjc/s10052-015-3303-2

Regular Article - Theoretical Physics

On bounds and boundary conditions in the continuum Landau gauge

¹ Department of Physics, KU Leuven Campus Kortrijk-KULAK, Etienne Sabbelaan 53, 8500, Kortrijk, Belgium
² Department of Physics and Astronomy, Ghent University, Krijgslaan 281-S9, 9000, Ghent, Belgium
³ Departamento de Física Teórica, Instituto de Física, UERJ-Universidade do Estado do Rio de Janeiro, Rio de Janeiro, Brazil

^* e-mail: david.dudal@kuleuven-kulak.be
^** e-mail: david.dudal@ugent.be

Received: 10 December 2014
Accepted: 4 February 2015
Published online: 20 February 2015

Abstract

In this note, we consider the Landau gauge in the continuum formulation. Our purposes are twofold. Firstly, we try to work out the consequences of the recently derived Cucchieri–Mendes bounds on the inverse Faddeev operator at the level of the path integral quantization. Secondly, we give an explicit (renormalizable) prescription to implement the so-called Landau -gauges as introduced by Maas.