Exact renormalization of a noncommutative Phi 3 model in 6 dimensions

Autor(en)

Harald Grosse, Harold Steinacker

Abstrakt

The noncommutative self-dual phi(3) model in six dimensions is quantized and essentially solved, by mapping it to the Kontsevich model. The model is shown to be renormalizable and asymptotically free, and solvable genus by genus. It requires both wavefunction and coupling constant renormalization. The exact ("all-order") renormalization of the bare parameters is determined explicitly, which turns out to depend on the genus 0 sector only. The running coupling constant is also computed exactly, which decreases more rapidly than predicted by the 1-loop beta-function. A phase transition to an unstable phase is found.

Organisation(en)

Mathematische Physik

Journal

Advances in Theoretical and Mathematical Physics

Band

12

Seiten

605-639

Anzahl der Seiten

35

ISSN

1095-0761

DOI

https://doi.org/10.4310/ATMP.2008.v12.n3.a4

Publikationsdatum

2008

Peer-reviewed

Ja

ÖFOS 2012

103019 Mathematische Physik

Link zum Portal

https://ucrisportal.univie.ac.at/de/publications/cd2f97b8-29e7-46e7-a391-ecf4ef192453