Content area

Abstract

In this paper we provide strong evidence that there is no ambiguity in the choice of the horizon function underlying the Gribov–Zwanziger action. We show that there is only one correct possibility which is determined by the requirement of multiplicative renormalizability. As a consequence, this means that relations derived from other horizon functions cannot be given a consistent interpretation in terms of a local and renormalizable quantum field theory. In addition, we also discuss that the Kugo–Ojima functions u(p2) and w(p2) can only be defined after renormalization of the underlying Green function(s).

Details

Title
More on the renormalization of the horizon function of the Gribov–Zwanziger action and the Kugo–Ojima Green function(s)
Author
Dudal, D 1 ; Sorella, S P 2 ; Vandersickel, N 1 

 Department of Physics and Astronomy, Ghent University, Gent, Belgium 
 Departamento de Física Teórica, Instituto de Física, UERJ—Universidade do Estado do Rio de Janeiro, Maracanã, Rio de Janeiro, Brasil 
Pages
283-298
Publication year
2010
Publication date
Jul 2010
Publisher
Springer Nature B.V.
ISSN
14346044
e-ISSN
14346052
Source type
Scholarly Journal
Language of publication
English
ProQuest document ID
2294079820
Copyright
The European Physical Journal C is a copyright of Springer, (2010). All Rights Reserved.