Unphysical nature of the<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi mathvariant="normal">SL</mml:mi><mml:mo>(</mml:mo><mml:mn>2</mml:mn><mml:mo>,</mml:mo><mml:mi>R</mml:mi><mml:mo>)</mml:mo></mml:math>symmetry and its associated condensates in Yang-Mills theories

Esole, Mboyo; Freire, F.

doi:10.1103/physrevd.69.041701

Cited by 7 publications

(22 citation statements)

References 32 publications

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“…where M ab is the off-diagonal Faddeev-Popov operator, as given in eq. (20). Expression (116) will be taken as the starting point for the implementation of the restriction to the Gribov region C 0 for the maximal Abelian gauge.…”

Section: Figure 1: the Gribov Horizonsmentioning

confidence: 99%

Influence of the Gribov copies on the gluon and ghost propagators in Euclidean Yang-Mills theory in the maximal Abelian gauge

Capri

Lemes²,

Sobreiro³

et al. 2005

Phys. Rev. D

150

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The effects of the Gribov copies on the gluon and ghost propagators are investigated in SU (2) Euclidean Yang-Mills theory quantized in the maximal Abelian gauge. The diagonal component of the gluon propagator displays the characteristic Gribov type behavior. The off-diagonal component of the gluon propagator is found to be of the Yukawa type, with a dynamical mass originating from the dimension two condensate A a µ A a µ , which is also taken into account. Finally, the off-diagonal ghost propagator exhibits infrared enhancement. * marcio@dft.if.uerj.br † vitor@dft.if.uerj.br ‡ sobreiro@uerj.br § sorella@uerj.br ¶ Work supported by FAPERJ, Fundação de Amparoà Pesquisa do Estado do Rio de Janeiro, under the program Cientista do Nosso Estado, E-26/151.947/2004. thibes@dft.if.uerj.br

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Section: Figure 1: the Gribov Horizonsmentioning

confidence: 99%

Influence of the Gribov copies on the gluon and ghost propagators in Euclidean Yang-Mills theory in the maximal Abelian gauge

Capri

Lemes²,

Sobreiro³

et al. 2005

Phys. Rev. D

150

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“…In particular, O seems to reduce to the gluon condensation A Quite recently, the physical meaning of O was seriously re-examined [7,8] based on the general theory of the BRST cohomology [9]. The purpose of this paper is to answer some of the criticisms raised there without using the abstract theory of BRST cohomology by pointing out a transparent physical meaning of O.…”

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confidence: 99%

A physical meaning of mixed gluon–ghost condensate of mass dimension two

Kondo

2003

Physics Letters B

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“…Phenomenology favors a gluon mass between ∼ 0.500 GeV and ∼ 1.2 GeV depending on how the mass is defined -see table 15 in [4]. Furthermore, a dynamically generated gluon mass can be related with the presence of the A 2 gluon condensate, which is associated with the non-perturbative sector of QCD and whose role has been investigated by several authors -see, for example, [6,7,8] and references their in.…”

Section: Introductionmentioning

confidence: 99%

Running gluon mass from a Landau gauge lattice QCD propagator

Oliveira

Bicudo²

2011

J. Phys. G: Nucl. Part. Phys.

142

137

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Abstract. The interpretation of the Landau gauge lattice gluon propagator as a massive type bosonic propagator is investigated. Three different scenarios are discussed: i) an infrared constant gluon mass; ii) an ultraviolet constant gluon mass; iii) a momentum dependent mass. We find that the infrared data can be associated with a massive propagator up to momenta ∼ 500 MeV, with a constant gluon mass of 723(11) MeV, if one excludes the zero momentum gluon propagator from the analysis, or 648(7) MeV, if the zero momentum gluon propagator is included in the data sets. The ultraviolet lattice data is not compatible with a massive type propagator with a constant mass. The scenario of a momentum dependent gluon mass gives a decreasing mass with the momentum, which vanishes in the deep ultraviolet region. Furthermore, we show that the functional forms used to describe the decoupling like solution of the Dyson-Schwinger equations are compatible with the lattice data with similar mass scales.

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Unphysical nature of theSL(2,R)symmetry and its associated condensates in Yang-Mills theories

Cited by 7 publications

References 32 publications

Influence of the Gribov copies on the gluon and ghost propagators in Euclidean Yang-Mills theory in the maximal Abelian gauge

Influence of the Gribov copies on the gluon and ghost propagators in Euclidean Yang-Mills theory in the maximal Abelian gauge

A physical meaning of mixed gluon–ghost condensate of mass dimension two

Running gluon mass from a Landau gauge lattice QCD propagator

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