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)