https://doi.org/10.1140/epjc/s10052-016-3942-y
Regular Article - Theoretical Physics
Dyson–Schwinger equations and 
SYM in Landau gauge
Institute of Physics, NAWI Graz, University of Graz, Universitätsplatz 5, 8010, Graz, Austria
* e-mail: axelmaas@web.de
Received:
12
January
2016
Accepted:
9
February
2016
Published online:
2
March
2016
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 and the 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 discuss which role the Gribov–Singer ambiguity in this context could play, should it exist in this theory.
© The Author(s), 2016
