Signals of Confinement in Green Functions of SU(2) Yang-Mills Theory

Gattnar, J.; Langfeld, Kurt; Reinhardt, Hugo

doi:10.1103/physrevlett.93.061601

Cited by 66 publications

(89 citation statements)

References 45 publications

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“…[20], where it was found that vortex removal also removes the Coulomb string tension of the color Coulomb potential. It is also consistent with recent investigations of Gattnar, Langfeld, and Reinhardt [21] in Landau gauge.…”

Section: Discussionsupporting

confidence: 93%

Center vortices and the Gribov horizon

Greensite

Olejník

Zwanziger

2005

J. High Energy Phys.

154

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We show how the infinite color-Coulomb energy of color-charged states is related to enhanced density of near-zero modes of the Faddeev-Popov operator, and calculate this density numerically for both pure Yang-Mills and gauge-Higgs systems at zero temperature, and for pure gauge theory in the deconfined phase. We find that the enhancement of the eigenvalue density is tied to the presence of percolating center vortex configurations, and that this property disappears when center vortices are either removed from the lattice configurations, or cease to percolate. We further demonstrate that thin center vortices have a special geometrical status in gauge-field configuration space: Thin vortices are located at conical or wedge singularities on the Gribov horizon. We show that the Gribov region is itself a convex manifold in lattice configuration space. The Coulomb gauge condition also has a special status; it is shown to be an attractive fixed point of a more general gauge condition, interpolating between the Coulomb and Landau gauges.

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Section: Discussionsupporting

confidence: 93%

Center vortices and the Gribov horizon

Greensite

Olejník

Zwanziger

2005

J. High Energy Phys.

154

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“…give an infrared diverging ghost [36,40], other authors interpret their results as pointing towards an infrared finite ghost dressing function [38], i.e.…”

Section: Introductionmentioning

confidence: 98%

Uniqueness of infrared asymptotics in Landau gauge Yang-Mills theory

2007

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“…It is also important to mention that, whereas the confinement mechanism within the "ghostdominance" description is attributed to the divergence of the ghost propagator [71], in the picture where the gluon is massive the origin of confinement is the condensation of vortices [4,72]. Actually, recent investigations advocate interesting connections between the center-vortex picture and the Gribov-horizon scenario [73].…”

Section: Jhep12(2006)012mentioning

confidence: 99%

Gluon mass generation in the PT-BFM scheme

Aguilar

Papavassiliou

2006

J. High Energy Phys.

195

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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Signals of Confinement in Green Functions of SU(2) Yang-Mills Theory

Cited by 66 publications

References 45 publications

Center vortices and the Gribov horizon

Center vortices and the Gribov horizon

Uniqueness of infrared asymptotics in Landau gauge Yang-Mills theory

Gluon mass generation in the PT-BFM scheme

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