The infrared behavior of the gluon and ghost propagators in SU(2) Yang-Mills theory in the maximal abelian gauge

Capri, M. A. L.; Dudal, David; Gracey, J.A.; Lemes, V. E. R.; Sobreiro, R. F.; Sorella, S. P.; Thibes, Ronaldo; Verschelde, Henri

doi:10.1590/s0103-97332007000400019

Cited by 5 publications

(3 citation statements)

References 29 publications

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“…Notice that expression (12) is suppressed in the infrared and attains a nonvanishing finite value at k = 0. Again, this behavior agrees with that reported in [31].…”

Section: The Tree Level Gluon and Ghost Propagatorsmentioning

confidence: 99%

“…In this paper we focus on the gluon and ghost propagators in the maximal Abelian gauge [1,2,3], which we are investigating since several years [4,5,6,7,8,9,10,11,12,13,14]. In our previous works we have provided analytical evidence of nonperturbative effects which should be taken into account when facing the various features displayed by this gauge, such as the dual superconductivity picture for color confinement [15] and the Abelian dominance hypothesis [16,17,18,19].…”

Section: Introductionmentioning

confidence: 99%

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Gluon and ghost propagators in Euclidean Yang-Mills theory in the maximal Abelian gauge: Taking into account the effects of the Gribov copies and of the dimension two condensates

et al. 2008

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The infrared behavior of the gluon and ghost propagators is studied in SU (2) Euclidean Yang-Mills theory in the maximal Abelian gauge within the Gribov-Zwanziger framework. The nonperturbative effects associated with the Gribov copies and with the dimension two condensates are simultaneously encoded into a local and renormalizable Lagrangian. The resulting behavior turns out to be in good agreement with the lattice data. * marcio@dft.if.uerj.br † vitor@dft.if.uerj.br ‡ sobreiro@cbpf.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-26/100.615/2007. thibes@dft.if.uerj.br

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“…Notice that expression (12) is suppressed in the infrared and attains a nonvanishing finite value at k = 0. Again, this behavior agrees with that reported in [31].…”

Section: The Tree Level Gluon and Ghost Propagatorsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Gluon and ghost propagators in Euclidean Yang-Mills theory in the maximal Abelian gauge: Taking into account the effects of the Gribov copies and of the dimension two condensates

et al. 2008

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“…Most non-perturbative studies of the Yang-Mills propagators have been done in Landau gauge. Another covariant gauge, where in the last years progress has been gained, is the Maximally Abelian gauge (MAG) [7,8,9,10,11,12,13]. This gauge is especially appealing, since it allows to study the dual superconductor picture of the Yang-Mills vacuum.…”

Section: Motivationmentioning

confidence: 99%

Including four-gluon interactions into Landau / maximally-Abelian gauge Dyson-Schwinger studies

Mader¹,

Alkofer²

2013

Proceedings of XTH Quark Confinement and the Hadron Spectrum — PoS(Confinement X)

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In Dyson-Schwinger studies of the Yang-Mills propagators the four-gluon interaction has been usually neglected due to the related technical difficulties with the associated two-loop terms and especially their renormalization. A possible scenario to renormalize these fully-dressed twoloop terms is presented. Preliminary results for the Landau gauge gluon propagator are shown. Implications for the gluon propagators in maximally Abelian gauge are discussed. Xth Quark Confinement and the Hadron Spectrum

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Study of the Gribov region in Euclidean Yang-Mills theories in the maximal Abelian gauge

et al. 2009

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In this paper we address the issue of the Gribov copies in SU (N ), N > 2, Euclidean Yang-Mills theories quantized in the maximal Abelian gauge. A few properties of the Gribov region in this gauge are established. Similarly to the case of SU (2), the Gribov region turns out to be convex, bounded along the off-diagonals directions in field space, and unbounded along the diagonal ones. The implementation of the restriction to the Gribov region in the functional integral is discussed through the introduction of the horizon function, whose construction will be outlined in detail. The influence of this restriction on the behavior of the gluon and ghost propagators of the theory is also investigated together with a set of dimension two condensates. * malcapri@cbpf.br † ajgomez@uerj.br ‡

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The infrared behavior of the gluon and ghost propagators in SU(2) Yang-Mills theory in the maximal abelian gauge

Cited by 5 publications

References 29 publications

Gluon and ghost propagators in Euclidean Yang-Mills theory in the maximal Abelian gauge: Taking into account the effects of the Gribov copies and of the dimension two condensates

Gluon and ghost propagators in Euclidean Yang-Mills theory in the maximal Abelian gauge: Taking into account the effects of the Gribov copies and of the dimension two condensates

Including four-gluon interactions into Landau / maximally-Abelian gauge Dyson-Schwinger studies

Study of the Gribov region in Euclidean Yang-Mills theories in the maximal Abelian gauge

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