Gauge-invariant effective gluon mass from the operator-product expansion

Lavelle, Martin

doi:10.1103/physrevd.44.r26

Cited by 86 publications

(121 citation statements)

References 13 publications

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“…However, as noted in Ref. [15], in the effective gluon propagator proposed by Lavelle [32], the O A (1/Q 2 ) polarization is (for the Landau gauge and D = 4) given by the dimension-4 gluon condensate F 2 as…”

Section: Strong Coupling Enhanced By Gluon Condensatesmentioning

confidence: 99%

ηandη′mesons and dimension 2 gluon condensate⟨A2⟩

Kekez

Klabučar

2006

Phys. Rev. D

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The study of light pseudoscalar quark-antiquark bound states in the Dyson-Schwinger approach with the effective QCD coupling enhanced by the interplay of the dimension 2 gluon condensate A 2 and dimension 4 gluon condensate F 2 , is extended to the η-η ′ complex. We include the effects of the gluon axial anomaly into the Dyson-Schwinger approach to mesons. The calculated masses, mixing and two-photon decay widths of η and η ′ mesons are in agreement with experiment. Also, in a model-independent way, we give the modification of the Gell-Mann-Okubo and Schwinger nonet relations due to the interplay of the gluon anomaly and SU(3) flavor symmetry breaking.

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Section: Strong Coupling Enhanced By Gluon Condensatesmentioning

confidence: 99%

ηandη′mesons and dimension 2 gluon condensate⟨A2⟩

Kekez

Klabučar

2006

Phys. Rev. D

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“…2, in addition to the Cornwall's solution (8), we have also considered the possibility of a soft behavior for the dynamical gluon mass. A power-law running behavior for M 2 g (ŝ) was first envisaged in [54] and according to an OPE calculation the most probable asymptotic behavior of the running gluon mass is proportional to 1/ŝ [55]. At the level of a non-linear Schwinger-Dyson equation this asymptotic behavior is given by [56].…”

Section: Appendix Amentioning

confidence: 99%

Aspects of a dynamical gluon mass approach to elastic hadron scattering at LHC

Fagundes¹,

Luna²,

Menon³

et al. 2012

Nuclear Physics A

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We discuss how the main features of the recent LHC data on elastic scattering can be described by a QCD-inspired formalism with a dynamical infrared mass scale. For this purpose new developments on a dynamical gluon mass approach are reported, with emphasis on a method to estimate uncertainty bounds in the predictions for the high-energy scattering observables. We investigate the effects due to the correlations among the fixed and free parameters involved and show that the band of predictions are consistent with the recent data from the TOTEM experiment, including the forward quantities and the differential cross section up to the dip position.

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“…In addition, we will use the elementary result 16) together with the following identities [67] (4.17) which allow us to rewrite the r.h.s. manifestly in terms of the unknown function ∆.…”

Section: Further Algebraic Manipulationsmentioning

confidence: 99%

Gluon mass generation in the PT-BFM scheme

Aguilar

Papavassiliou

2006

J. High Energy Phys.

192

316

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In this article we study the general structure and special properties of the Schwinger-Dyson equation for the gluon propagator constructed with the pinch technique, together with the question of how to obtain infrared finite solutions, associated with the generation of an effective gluon mass. Exploiting the known all-order correspondence between the pinch technique and the background field method, we demonstrate that, contrary to the standard formulation, the non-perturbative gluon self-energy is transverse order-byorder in the dressed loop expansion, and separately for gluonic and ghost contributions. We next present a comprehensive review of several subtle issues relevant to the search of infrared finite solutions, paying particular attention to the role of the seagull graph in enforcing transversality, the necessity of introducing massless poles in the three-gluon vertex, and the incorporation of the correct renormalization group properties. In addition, we present a method for regulating the seagull-type contributions based on dimensional regularization; its applicability depends crucially on the asymptotic behavior of the solutions in the deep ultraviolet, and in particular on the anomalous dimension of the dynamically generated gluon mass. A linearized version of the truncated Schwinger-Dyson equation is derived, using a vertex that satisfies the required Ward identity and contains massless poles belonging to different Lorentz structures. The resulting integral equation is then solved numerically, the infrared and ultraviolet properties of the obtained solutions are examined in detail, and the allowed range for the effective gluon mass is determined. Various open questions and possible connections with different approaches in the literature are discussed.

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Gauge-invariant effective gluon mass from the operator-product expansion

Cited by 86 publications

References 13 publications

ηandη′mesons and dimension 2 gluon condensate⟨A2⟩

ηandη′mesons and dimension 2 gluon condensate⟨A2⟩

Aspects of a dynamical gluon mass approach to elastic hadron scattering at LHC

Gluon mass generation in the PT-BFM scheme

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