High Energy Physics - Theory
[Submitted on 10 Mar 2015 (v1), last revised 16 Apr 2015 (this version, v2)]
Title:Dimension two condensates in the Gribov-Zwanziger theory in the Coulomb gauge
View PDFAbstract:We investigate the dimension two condensate $< {\bar \phi}^{ab}_i \phi^{ab}_i -{\bar \omega}^{ab}_i \omega^{ab}_i >$ within the Gribov-Zwanziger approach to Euclidean Yang-Mills theories in the Coulomb gauge, in both 3 and 4 dimensions. An explicit calculation shows that, at the first order, the condensate $< {\bar \phi}^{ab}_i \phi^{ab}_i -{\bar \omega}^{ab}_i \omega^{ab}_i >$ is plagued by a non-integrable IR divergence in 3D, while in 4D it exhibits a logarithmic UV divergence, being proportional to the Gribov parameter $\gamma^2$. These results indicate that in 3D the transverse spatial Coulomb gluon two-point correlation function exhibits a scaling behaviour, in agreement with Gribov's expression. In 4D, however, they suggest that, next to the scaling behaviour, a decoupling solution might emerge too.
Submission history
From: Marcelo Guimaraes [view email][v1] Tue, 10 Mar 2015 23:09:55 UTC (9 KB)
[v2] Thu, 16 Apr 2015 20:17:22 UTC (10 KB)
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