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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, H. Verschelde
2008 Physical Review D  

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2008 pre-print arXiv:0808.0893v2 fatcat:le6x2ccdpfg3vjeycvq63bejcq

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2008 accepted
arXiv:0808.0893v3 fatcat:kgkm52altnhztfpv556jmbz3m4
2008 pre-print
arXiv:0808.0893v1 fatcat:ntofdyzpsfhovlgo4anngeotem
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
more » ... ors turns out be in agreement with the recent numerical simulations.
doi:10.1103/physrevd.78.125012 fatcat:6ju6rees7bb63jkco347rpxs4a
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D. Dudal, J. A. Gracey, S. P. Sorella, N. Vandersickel, H. Verschelde. "Landau gauge gluon and ghost propagators in the refined Gribov-Zwanziger framework in 3 dimensions." Physical Review D 78.12 (2008)