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arXiv · 1512.06664

Dyson-Schwinger equations and ${\cal N}=4$ SYM in Landau gauge

Axel Maas·Stefan Zitz
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Abstract

${\cal N}=4$ Super Yang-Mills theory is a highly constrained theory, and therefore a valuable tool to test the understanding of less constrained Yang-Mills theories. Our aim is to use it to test our understanding of both the Landau gauge beyond perturbation theory as well as truncations of Dyson-Schwinger equations in ordinary Yang-Mills theories. We derive the corresponding equations within the usual one-loop truncation for the propagators after imposing the Landau gauge. We find a conformal solution in this approximation, which surprisingly resembles many aspects of ordinary Yang-Mills theories. We furthermore identify which role the Gribov-Singer ambiguity in this context could play, should it exist in this theory.

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Axel Maas, Stefan Zitz. 2015-12-21. Dyson-Schwinger equations and ${\cal N}=4$ SYM in Landau gauge. https://doi.org/10.1140/epjc%2Fs10052-016-3942-y

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