Stochastic quantization of λϕ^4_2-theory in 2-d Moyal space
Song, Chunqiu; Weber, Hendrik; Wulkenhaar, Raimar
Research article in digital collection | Preprint | Peer reviewedAbstract
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 about the publication
Name of the repository: arXiv
Article number: 2502.02355
Status: submitted / under review
Release year: 2025
Language in which the publication is written: English
Link to the full text: https://doi.org/10.48550/arXiv.2502.02355
Keywords: stochastic quantization, non-commutative quantum field theory, Moyal product
Authors from the University of Münster
| Weber, Hendrik | Professorship of Mathematics (Prof. Weber) |
| Wulkenhaar, Raimar | Professur für Reine Mathematik (Prof. Wulkenhaar) |