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

Physics – High Energy Physics – High Energy Physics - Theory

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26 pages, 16 .eps figures. v3: version accepted for publication in Phys Rev D

Scientific paper

10.1103/PhysRevD.78.125012

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 as in 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 behaviour of the propagators turns out be in agreement with the recent numerical simulations.

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