Landau gauge gluon and ghost propagators in the refined Gribov-Zwanziger framework in 3 dimensions

D. Dudal, J. A. Gracey, S. P. Sorella, N. Vandersickel, and H. Verschelde

Phys. Rev. D 78, 125012 – Published 11 December 2008

Abstract

In previous works, we have constructed a refined version of the Gribov-Zwanziger action in 4 dimensions, by taking into account a novel dynamical effect. In this paper, we explore the 3-dimensional case. Analogously to 4 dimensions, we obtain a ghost propagator behaving like $1 / p^{2}$ in the infrared, while the gluon propagator reaches a finite nonvanishing value at zero momentum. Simultaneously, a clear violation of positivity by the gluon propagator is also found. This behavior of the propagators turns out to be in agreement with the recent numerical simulations.

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Received 25 August 2008

DOI:https://doi.org/10.1103/PhysRevD.78.125012

Authors & Affiliations

D. Dudal^1,2,*, J. A. Gracey^3,†, S. P. Sorella^4,‡, N. Vandersickel^2,§, and H. Verschelde^2,∥

¹Center for Theoretical Physics, Massachusetts Institute of Technology, 77 Massachusetts Avenue, Cambridge, Massachusetts 02139, USA
²Ghent University, Department of Mathematical Physics and Astronomy, Krijgslaan 281-S9, B-9000 Gent, Belgium
³Theoretical Physics Division, Department of Mathematical Sciences, University of Liverpool, P.O. Box 147, Liverpool, L69 3BX, United Kingdom
⁴Departamento de Física Teórica, Instituto de Física, UERJ—Universidade do Estado do Rio de Janeiro, Rua São Francisco Xavier 524, 20550-013 Maracanã, Rio de Janeiro, Brazil

^*ddudal@mit.edu,david.dudal@ugent.be
^†gracey@liv.ac.uk
^‡sorella@uerj.br
^§nele.vandersickel@ugent.be
^∥henri.verschelde@ugent.be

Refinement of the Gribov-Zwanziger approach in the Landau gauge: Infrared propagators in harmony with the lattice results

D. Dudal, J. A. Gracey, S. P. Sorella, N. Vandersickel, and H. Verschelde

Phys. Rev. D 78, 065047 (2008)

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Vol. 78, Iss. 12 — 15 December 2008

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