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The universal character of Zwanziger's horizon function in Euclidean Yang-Mills theories

(2018) PHYSICS LETTERS B. 781. p.48-54
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Abstract
In light of the recently established BRST invariant formulation of the Gribov-Zwanziger theory, we show that Zwanziger's horizon function displays a universal character. More precisely, the correlation functions of local BRST invariant operators evaluated with the Yang-Mills action supplemented with a BRST invariant version of the Zwanziger's horizon function and quantized in an arbitrary class of covariant, color invariant and renormalizable gauges which reduce to the Landau gauge when all gauge parameters are set to zero, have a unique, gauge parameters independent result, corresponding to that of the Landau gauge when the restriction to the Gribov region Omega in the latter gauge is imposed. As such, thanks to the BRST invariance, the cut-off at the Gribov region Omega acquires a gauge independent meaning in the class of the physical correlators.
Keywords
MAXIMAL ABELIAN GAUGES, GRIBOV HORIZON, LANDAU GAUGE, INFRARED BEHAVIOR, LINEAR COVARIANT, BRST INVARIANCE, CURCI-FERRARI, QCD, QUANTIZATION, PROPAGATORS

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Chicago
Capri, MAL, David Dudal, MS Guimaraes, AD Pereira, BW Mintz, LF Palhares, and SP Sorella. 2018. “The Universal Character of Zwanziger’s Horizon Function in Euclidean Yang-Mills Theories.” Physics Letters B 781: 48–54.
APA
Capri, M., Dudal, D., Guimaraes, M., Pereira, A., Mintz, B., Palhares, L., & Sorella, S. (2018). The universal character of Zwanziger’s horizon function in Euclidean Yang-Mills theories. PHYSICS LETTERS B, 781, 48–54.
Vancouver
1.
Capri M, Dudal D, Guimaraes M, Pereira A, Mintz B, Palhares L, et al. The universal character of Zwanziger’s horizon function in Euclidean Yang-Mills theories. PHYSICS LETTERS B. 2018;781:48–54.
MLA
Capri, MAL, David Dudal, MS Guimaraes, et al. “The Universal Character of Zwanziger’s Horizon Function in Euclidean Yang-Mills Theories.” PHYSICS LETTERS B 781 (2018): 48–54. Print.
@article{8561999,
  abstract     = {In light of the recently established BRST invariant formulation of the Gribov-Zwanziger theory, we show that Zwanziger's horizon function displays a universal character. More precisely, the correlation functions of local BRST invariant operators evaluated with the Yang-Mills action supplemented with a BRST invariant version of the Zwanziger's horizon function and quantized in an arbitrary class of covariant, color invariant and renormalizable gauges which reduce to the Landau gauge when all gauge parameters are set to zero, have a unique, gauge parameters independent result, corresponding to that of the Landau gauge when the restriction to the Gribov region Omega in the latter gauge is imposed. As such, thanks to the BRST invariance, the cut-off at the Gribov region Omega acquires a gauge independent meaning in the class of the physical correlators.},
  author       = {Capri, MAL and Dudal, David and Guimaraes, MS and Pereira, AD and Mintz, BW and Palhares, LF and Sorella, SP},
  issn         = {0370-2693},
  journal      = {PHYSICS LETTERS B},
  keyword      = {MAXIMAL ABELIAN GAUGES,GRIBOV HORIZON,LANDAU GAUGE,INFRARED BEHAVIOR,LINEAR COVARIANT,BRST INVARIANCE,CURCI-FERRARI,QCD,QUANTIZATION,PROPAGATORS},
  language     = {eng},
  pages        = {48--54},
  title        = {The universal character of Zwanziger's horizon function in Euclidean Yang-Mills theories},
  url          = {http://dx.doi.org/10.1016/j.physletb.2018.03.058},
  volume       = {781},
  year         = {2018},
}

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