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

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Original languageEnglish
Article number136413
JournalPhysics Letters B
Volume819
Early online date28 May 2021
Publication statusPublished - 10 Aug 2021

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.

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Construction method for the Nicolai map in supersymmetric Yang–Mills theories. / Lechtenfeld, Olaf; Rupprecht, Maximilian.
In: Physics Letters B, Vol. 819, 136413, 10.08.2021.

Research output: Contribution to journalArticleResearchpeer review

Lechtenfeld O, Rupprecht M. Construction method for the Nicolai map in supersymmetric Yang–Mills theories. Physics Letters B. 2021 Aug 10;819:136413. Epub 2021 May 28. doi: 10.48550/arXiv.2104.09654, 10.1016/j.physletb.2021.136413
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