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Article overview
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Correlation functions of Polyakov loops at tree level | Robert D. Pisarski
; Vladimir V. Skokov
; | Date: |
27 Jan 2015 | Abstract: | We compute the correlation functions of Polyakov loops in $SU(N_c)$ gauge
theories by explicitly summing all diagrams at tree level in two special cases,
for $N_c = 2$ and $N_c = infty$. When $N_c =2$ we find the expected we find
Coulomb-like behavior at short distances, $sim 1/x$ as the distance $x
ightarrow 0$. In the planar limit at $N_c = infty$ we find a weaker
singularity, $sim 1/sqrt{x}$ as $x
ightarrow 0$. In each case, at short
distances the behavior of the correlation functions between two Polyakov loops,
and the corresponding Wilson loop, are the same. We suggest that such
non-Coulombic behavior is an artifact of the planar limit. | Source: | arXiv, 1501.6904 | Services: | Forum | Review | PDF | Favorites |
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