dc.identifier.uri |
http://dx.doi.org/10.15488/13976 |
|
dc.identifier.uri |
https://www.repo.uni-hannover.de/handle/123456789/14090 |
|
dc.contributor.author |
Lechtenfeld, Olaf
|
|
dc.date.accessioned |
2023-06-29T07:13:04Z |
|
dc.date.available |
2023-06-29T07:13:04Z |
|
dc.date.issued |
2022 |
|
dc.identifier.citation |
Lechtenfeld, O.: Supersymmetric large-order perturbation with the Nicolai map. In: Physics Letters B 835 (2022), 137507. DOI: https://doi.org/10.1016/j.physletb.2022.137507 |
|
dc.description.abstract |
In rigidly supersymmetric quantum theories, the Nicolai map allows one to turn on a coupling constant (from zero to a finite value) by keeping the (free) functional integration measure but subjecting the fields to a particular nonlocal and nonlinear transformation. A recursive perturbative construction of the Nicolai-transformed field configuration expresses it as a power series in the coupling, with its coefficient function at order n being a sum of particular tree diagrams. For a quantum-mechanical example, the size of these tree diagrams (under a certain functional norm) is estimated by the (n+1)st power of the field size, and their number grows like n−3/2×4.967n. Such an asymptotic behaviour translates to a finite convergence radius for the formal perturbative expansion of the Nicolai map, which establishes its non-perturbative existence. The known factorial growth of the number of Feynman diagrams for quantum correlators is reproduced by the combinatorics of free-field Wick contractions as usual. We expect our results to extend to higher dimensions, including super Yang–Mills theory. |
eng |
dc.language.iso |
eng |
|
dc.publisher |
Amsterdam [u.a.] : Elsevier |
|
dc.relation.ispartofseries |
Physics Letters B 835 (2022) |
|
dc.rights |
CC BY 4.0 Unported |
|
dc.rights.uri |
https://creativecommons.org/licenses/by/4.0 |
|
dc.subject |
Supersymmetric |
eng |
dc.subject |
Yang–Mills theory |
eng |
dc.subject |
Nicolai map |
eng |
dc.subject.ddc |
530 | Physik
|
|
dc.title |
Supersymmetric large-order perturbation with the Nicolai map |
eng |
dc.type |
Article |
|
dc.type |
Text |
|
dc.relation.issn |
0370-2693 |
|
dc.relation.doi |
https://doi.org/10.1016/j.physletb.2022.137507 |
|
dc.bibliographicCitation.volume |
835 |
|
dc.bibliographicCitation.firstPage |
137507 |
|
dc.description.version |
publishedVersion |
|
tib.accessRights |
frei zug�nglich |
|