Construction method for the Nicolai map in supersymmetric Yang-Mills theories

Recently, a universal formula for the Nicolai map in terms of a coupling flow functional differential operator was found. We present the full perturbative expansion of this operator in Yang-Mills theories where supersymmetry is realized off-shell. Given this expansion, we develop a straightforward method to compute the explicit Nicolai map to any order in the gauge coupling. Our work extends the previously known construction method from the Landau gauge to arbitrary gauges and from the gauge hypersurface to the full gauge-field configuration space. As an example, we present the map in the axial gauge to the second order. (C) 2021 The Author(s). Published by Elsevier B.V.

Automated summary

A universal formula for the Nicolai map using a coupling flow functional differential operator has been found recently. The full perturbative expansion of this operator in Yang-Mills theories with off-shell supersymmetry is presented, allowing for the computation of the explicit Nicolai map to any order in the gauge coupling. This work extends the previously known construction method to arbitrary gauges and from the gauge hypersurface to the full gauge-field configuration space.