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arXiv · 0808.0893

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

D. Dudal·J. A. Gracey·S. P. Sorella·N. Vandersickel·H. Verschelde
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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 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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D. Dudal, J. A. Gracey, S. P. Sorella, N. Vandersickel, H. Verschelde. 2008-11-11. The Landau gauge gluon and ghost propagator in the refined Gribov-Zwanziger framework in 3 dimensions. https://doi.org/10.1103/physrevd.78.125012

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