Publications at the Riemann Center

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

authored by
Olaf Lechtenfeld, Maximilian Rupprecht
Abstract

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.

Organisation(s)
Institut für Theoretische Physik
Riemann Center for Geometry and Physics
Type
Artikel
Journal
Physics Letters B
Volume
819
ISSN
0370-2693
Publication date
10.08.2021
Publication status
Veröffentlicht
Peer reviewed
Yes
ASJC Scopus Sachgebiete
Kern- und Hochenergiephysik
Electronic version(s)
https://doi.org/10.48550/arXiv.2104.09654 (Access: Offen)
https://doi.org/10.1016/j.physletb.2021.136413 (Access: Offen)