{"DOI":"10.1007/jhep10(2020)199","abstract":"Abstract\n\nSupersymmetric gauge theories are characterized by the existence of a transformation of the bosonic fields (Nicolai map) such that the Jacobi determinant of the transformation equals the product of the Matthews-Salam-Seiler and Faddeev-Popov determinants. This transformation had been worked out to second order in the coupling constant. In this paper, we extend this result (and the framework itself ) to third order in the coupling constant. A diagrammatic approach in terms of tree diagrams, aiming to extend this map to arbitrary orders, is outlined. This formalism bypasses entirely the use of anti-commuting variables, as well as issues concerning the (non-)existence of off-shell formulations for these theories. It thus offers a fresh perspective on supersymmetric gauge theories and, in particular, the ubiquitous $$ \\mathcal{N} $$\nN\n = 4 theory.","author":[{"family":"Ananth","given":"Sudarshan"},{"family":"Lechtenfeld","given":"Olaf"},{"family":"Malcha","given":"Hannes"},{"family":"Nicolai","given":"Hermann"},{"family":"Pandey","given":"Chetan"},{"family":"Pant","given":"Saurabh"}],"id":"unknown","issue":"10","issued":{"date-parts":[[2020]]},"language":"en","publisher":"Springer Science and Business Media LLC","title":"Perturbative linearization of supersymmetric Yang-Mills theory","type":"article-journal","volume":"2020"}