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

被引:28
作者
Dudal, D. [1 ]
Sorella, S. P. [2 ]
Vandersickel, N. [1 ]
机构
[1] Univ Ghent, Dept Phys & Astron, B-9000 Ghent, Belgium
[2] Univ Estado Rio de Janeiro, Dept Fis Teor, Inst Fis, BR-20550013 Rio De Janeiro, Brazil
来源
EUROPEAN PHYSICAL JOURNAL C | 2010年 / 68卷 / 1-2期
关键词
LANDAU GAUGE; INFRARED BEHAVIOR; GLUON;
D O I
10.1140/epjc/s10052-010-1304-8
中图分类号
O412 [相对论、场论]; O572.2 [粒子物理学];
学科分类号
摘要
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).
引用
收藏
页码:283 / 298
页数:16
相关论文
共 41 条
[1]   Nonperturbative comparison of QCD effective charges [J].
Aguilar, A. C. ;
Binosi, D. ;
Papavassiliou, J. ;
Rodriguez-Quintero, J. .
PHYSICAL REVIEW D, 2009, 80 (08)
[2]   Gluon and ghost propagators in the Landau gauge: Deriving lattice results from Schwinger-Dyson equations [J].
Aguilar, A. C. ;
Binosi, D. ;
Papavassiliou, J. .
PHYSICAL REVIEW D, 2008, 78 (02)
[3]   Lattice gluodynamics computation of Landau-gauge Green's functions in the deep infrared [J].
Bogolubsky, I. L. ;
Ilgenfritz, E. -M. ;
Mueller-Preussker, M. ;
Sternbeck, A. .
PHYSICS LETTERS B, 2009, 676 (1-3) :69-73
[4]   Infrared behavior and Gribov ambiguity in SU(2) lattice gauge theory [J].
Bornyakov, V. G. ;
Mitrjushkin, V. K. ;
Mueller-Preussker, M. .
PHYSICAL REVIEW D, 2009, 79 (07)
[5]  
Boucaud P., 2008, JHEP, V0806, P099
[6]   IR finiteness of the ghost dressing function from numerical resolution of the ghost SD equation [J].
Boucaud, Ph. ;
Leroy, J. P. ;
Le Yaouanc, A. ;
Micheli, J. ;
Pene, O. ;
Rodriguez-Quintero, J. .
JOURNAL OF HIGH ENERGY PHYSICS, 2008, (06)
[7]   Gribov's horizon and the ghost dressing function [J].
Boucaud, Ph. ;
Leroy, J. P. ;
Le Yaouanc, A. ;
Micheli, J. ;
Pene, O. ;
Rodriguez-Quintero, J. .
PHYSICAL REVIEW D, 2009, 80 (09)
[8]   Local renormalizable gauge theories from nonlocal operators [J].
Capri, M. A. L. ;
Lemes, V. E. R. ;
Sobreiro, R. F. ;
Sorella, S. P. ;
Thibes, R. .
ANNALS OF PHYSICS, 2008, 323 (03) :752-767
[9]   Constraints on the infrared behavior of the ghost propagator in Yang-Mills theories [J].
Cucchieri, A. ;
Mendes, T. .
PHYSICAL REVIEW D, 2008, 78 (09)
[10]  
Cucchieri Attilio, 2007, P SCI LATTICE2007, P297, DOI [10.22323/1.042.0297, DOI 10.22323/1.042.0297]