Quantum field theory on the degenerate Moyal space

Autor(en)

Harald Grosse, Fabien Vignes-Tourneret

Abstrakt

We prove that the self-interacting scalar field on the four-dimensional degenerate Moyal plane is renormalisable to all orders when adding a suitable counterterm to the Lagrangian. Despite the apparent simplicity of the model, it raises several non-trivial questions. Our result is a first step towards the definition of renormalisable quantum field theories on a non-commutative Minkowski space.

Organisation(en)

Mathematische Physik

Externe Organisation(en)

Université Claude-Bernard-Lyon-I

Journal

Journal of Noncommutative Geometry

Band

4

Seiten

555-576

Anzahl der Seiten

22

ISSN

1661-6952

DOI

https://doi.org/10.4171/JNCG/66

Publikationsdatum

2010

Peer-reviewed

Ja

ÖFOS 2012

103019 Mathematische Physik

Link zum Portal

https://ucrisportal.univie.ac.at/de/publications/5981808c-8be0-48bc-903a-2b2908b221ef