Stochastic quantization of λϕ^4_2-theory in 2-d Moyal space
Song, Chunqiu; Weber, Hendrik; Wulkenhaar, Raimar
Forschungsartikel in Online-Sammlung | Preprint | Peer reviewedZusammenfassung
There is strong evidence for the conjecture that the λϕ44 QFT- model on 4-dimensional non-commutative Moyal space can be non-perturbatively constructed. As preparation, in this paper we construct the 2-dimensional case with the method of stochastic quantization. We show the local well-posedness and global well-posedness of the stochastic quantization equation, leading to a construction of the Moyal λϕ42 measure for any non-negative coupling constant λ.
Details zur Publikation
Name des Repositoriums: arXiv
Artikelnummer: 2502.02355
Status: eingereicht / in Begutachtung
Veröffentlichungsjahr: 2025
Sprache, in der die Publikation verfasst ist: Englisch
Link zum Volltext: https://doi.org/10.48550/arXiv.2502.02355
Stichwörter: stochastic quantization, non-commutative quantum field theory, Moyal product
Autor*innen der Universität Münster
| Weber, Hendrik | Professur für Mathematik (Prof. Weber) |
| Wulkenhaar, Raimar | Professur für Reine Mathematik (Prof. Wulkenhaar) |