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Indirect lattice evidence for the refined Gribov-Zwanziger formalism and the gluon condensate < A2> in the Landau gauge

David Dudal (UGent) , O Oliveira and Nele Vandersickel (UGent)
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Abstract
We consider the gluon propagator D(p(2)) at various lattice sizes and spacings in the case of pure SU(3) Yang-Mills gauge theories using the Landau gauge fixing. We discuss a class of fits in the infrared region in order to (in) validate the tree level analytical prediction in terms of the (refined) Gribov-Zwanziger framework. It turns out that an important role is played by the presence of the widely studied dimension two gluon condensate < A(2)>. Including this effect allows to obtain an acceptable fit around 1 to 1.5 GeV, while corroborating the refined Gribov-Zwanziger prediction for the gluon propagator. We also discuss the infinite volume extrapolation, leading to the estimate D(0) = 8.3 +/- 0.5 GeV-2. As a by-product, we can also provide the prediction < g(2)A(2)> approximate to 3 GeV2 obtained at the renormalization scale mu = 10 GeV.
Keywords
VACUUM, MASS, PHYSICS, CONFINEMENT, RENORMALIZATION, HORIZON, QCD, INFRARED BEHAVIOR, COMPOSITE OPERATOR, YANG-MILLS THEORY

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Citation

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

Chicago
Dudal, David, O Oliveira, and Nele Vandersickel. 2010. “Indirect Lattice Evidence for the Refined Gribov-Zwanziger Formalism and the Gluon Condensate < A2> in the Landau Gauge.” Physical Review D 81 (7).
APA
Dudal, David, Oliveira, O., & Vandersickel, N. (2010). Indirect lattice evidence for the refined Gribov-Zwanziger formalism and the gluon condensate < A2> in the Landau gauge. PHYSICAL REVIEW D, 81(7).
Vancouver
1.
Dudal D, Oliveira O, Vandersickel N. Indirect lattice evidence for the refined Gribov-Zwanziger formalism and the gluon condensate < A2> in the Landau gauge. PHYSICAL REVIEW D. 2010;81(7).
MLA
Dudal, David, O Oliveira, and Nele Vandersickel. “Indirect Lattice Evidence for the Refined Gribov-Zwanziger Formalism and the Gluon Condensate < A2> in the Landau Gauge.” PHYSICAL REVIEW D 81.7 (2010): n. pag. Print.
@article{1843716,
  abstract     = {We consider the gluon propagator D(p(2)) at various lattice sizes and spacings in the case of pure SU(3) Yang-Mills gauge theories using the Landau gauge fixing. We discuss a class of fits in the infrared region in order to (in) validate the tree level analytical prediction in terms of the (refined) Gribov-Zwanziger framework. It turns out that an important role is played by the presence of the widely studied dimension two gluon condensate {\textlangle} A(2){\textrangle}. Including this effect allows to obtain an acceptable fit around 1 to 1.5 GeV, while corroborating the refined Gribov-Zwanziger prediction for the gluon propagator. We also discuss the infinite volume extrapolation, leading to the estimate D(0) = 8.3 +/- 0.5 GeV-2. As a by-product, we can also provide the prediction {\textlangle} g(2)A(2){\textrangle} approximate to 3 GeV2 obtained at the renormalization scale mu = 10 GeV.},
  articleno    = {074505},
  author       = {Dudal, David and Oliveira, O and Vandersickel, Nele},
  issn         = {1550-7998},
  journal      = {PHYSICAL REVIEW D},
  keyword      = {VACUUM,MASS,PHYSICS,CONFINEMENT,RENORMALIZATION,HORIZON,QCD,INFRARED BEHAVIOR,COMPOSITE OPERATOR,YANG-MILLS THEORY},
  language     = {eng},
  number       = {7},
  pages        = {12},
  title        = {Indirect lattice evidence for the refined Gribov-Zwanziger formalism and the gluon condensate {\textlangle} A2{\textrangle} in the Landau gauge},
  url          = {http://dx.doi.org/10.1103/PhysRevD.81.074505},
  volume       = {81},
  year         = {2010},
}

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