4.7 Article

More on the renormalization of the horizon function of the Gribov-Zwanziger action and the Kugo-Ojima Green function(s)

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EUROPEAN PHYSICAL JOURNAL C
卷 68, 期 1-2, 页码 283-298

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SPRINGER
DOI: 10.1140/epjc/s10052-010-1304-8

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  1. Research Foundation-Flanders (FWO)
  2. The Conselho Nacional de Desenvolvimento Cientifico e Tecnologico (CNPq-Brazil)
  3. Faperj, Fundacao de Amparo a Pesquisa do Estado do Rio de Janeiro
  4. SR2-UERJ
  5. Coordenacao de Aperfeicoamento de Pessoal de Nivel Superior (CAPES)

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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(p (2)) and w(p (2)) can only be defined after renormalization of the underlying Green function(s).

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