Details
Original language | English |
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Article number | 136413 |
Journal | Physics Letters B |
Volume | 819 |
Early online date | 28 May 2021 |
Publication status | Published - 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.
ASJC Scopus subject areas
- Physics and Astronomy(all)
- Nuclear and High Energy Physics
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In: Physics Letters B, Vol. 819, 136413, 10.08.2021.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Construction method for the Nicolai map in supersymmetric Yang–Mills theories
AU - Lechtenfeld, Olaf
AU - Rupprecht, Maximilian
N1 - Funding Information: M.R. is supported by a PhD grant of the German Academic Scholarship Foundation .
PY - 2021/8/10
Y1 - 2021/8/10
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=85110350598&partnerID=8YFLogxK
U2 - 10.48550/arXiv.2104.09654
DO - 10.48550/arXiv.2104.09654
M3 - Article
VL - 819
JO - Physics Letters B
JF - Physics Letters B
SN - 0370-2693
M1 - 136413
ER -