The Landau gauge gluon and ghost propagator in the refined Gribov-Zwanziger framework in 3 dimensions
Dudal, D. · Gracey, J. A. · Sorella, S. P. · Vandersickel, N. · Verschelde, H.
Original · EN
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/p² 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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