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

David Dudal (UGent) , SP Sorella and Nele Vandersickel (UGent)
(2010) EUROPEAN PHYSICAL JOURNAL C. 68(1-2). p.283-298
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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(p (2)) and w(p (2)) can only be defined after renormalization of the underlying Green function(s).
Keywords
GLUON, INFRARED BEHAVIOR, LANDAU GAUGE

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Citation

Please use this url to cite or link to this publication:

Chicago
Dudal, David, SP Sorella, and Nele Vandersickel. 2010. “More on the Renormalization of the Horizon Function of the Gribov-Zwanziger Action and the Kugo-Ojima Green Function(s).” European Physical Journal C 68 (1-2): 283–298.
APA
Dudal, David, Sorella, S., & Vandersickel, N. (2010). More on the renormalization of the horizon function of the Gribov-Zwanziger action and the Kugo-Ojima Green function(s). EUROPEAN PHYSICAL JOURNAL C, 68(1-2), 283–298.
Vancouver
1.
Dudal D, Sorella S, Vandersickel N. More on the renormalization of the horizon function of the Gribov-Zwanziger action and the Kugo-Ojima Green function(s). EUROPEAN PHYSICAL JOURNAL C. 2010;68(1-2):283–98.
MLA
Dudal, David, SP Sorella, and Nele Vandersickel. “More on the Renormalization of the Horizon Function of the Gribov-Zwanziger Action and the Kugo-Ojima Green Function(s).” EUROPEAN PHYSICAL JOURNAL C 68.1-2 (2010): 283–298. Print.
@article{1843711,
  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(p (2)) and w(p (2)) can only be defined after renormalization of the underlying Green function(s).},
  author       = {Dudal, David and Sorella, SP and Vandersickel, Nele},
  issn         = {1434-6044},
  journal      = {EUROPEAN PHYSICAL JOURNAL C},
  keyword      = {GLUON,INFRARED BEHAVIOR,LANDAU GAUGE},
  language     = {eng},
  number       = {1-2},
  pages        = {283--298},
  title        = {More on the renormalization of the horizon function of the Gribov-Zwanziger action and the Kugo-Ojima Green function(s)},
  url          = {http://dx.doi.org/10.1140/epjc/s10052-010-1304-8},
  volume       = {68},
  year         = {2010},
}

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