Instabilities of noncommutative two dimensional BF model
Alberto Blasi, Nicola Maggiore, Michele Montobbio
TL;DR
This paper investigates the noncommutative two-dimensional BF model and finds that using the Groenewold-Moyal star product causes instabilities, making the theory non-renormalizable.
Contribution
It demonstrates that the noncommutative extension via the Groenewold-Moyal star product introduces instabilities, highlighting issues in the renormalizability of the model.
Findings
Instabilities arise from the noncommutative map implementation.
The noncommutative model is non-renormalizable.
The Groenewold-Moyal star product causes fundamental issues.
Abstract
The noncommutative extension of two dimensional BF model is considered. It is shown that the realization of the noncommutative map via the Groenewold-Moyal star product leads to instabilities of the action, hence to a non renormalizable theory.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.