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arXiv · 0711.1451

A first look at Landau-gauge propagators in G2 Yang-Mills theory

Axel Maas·Stefan Olejnik
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Abstract

G_2 Yang--Mills theory is an interesting laboratory to investigate non-perturbative effects. On one hand, no conventional quark confinement via a linearly rising potential is present. On the other hand, its thermodynamic properties are similar to ordinary SU(N) Yang--Mills theory. Finally, it has been conjectured that gluons are removed from the physical spectrum in the same way as in SU(N) Yang--Mills theory. The last claim will be explored by determining the Landau-gauge ghost and gluon propagators, as well as the Faddeev--Popov operator eigenspectrum, in G_2 lattice gauge theory in two and three dimensions. The results are found to agree qualitatively with the SU(2) and SU(3) case. Therefore, the conjecture that Yang--Mills theories with different gauge groups are qualitatively similar on the level of their Landau gauge Green's functions is supported.

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Axel Maas, Stefan Olejnik. 2007-12-19. A first look at Landau-gauge propagators in G2 Yang-Mills theory. https://doi.org/10.1088/1126-6708%2F2008%2F02%2F070

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