Die u:cris Detailansicht:
Noncommutative quantum field theory
- Autor(en)
- Harald Grosse, Raimar Wulkenhaar
- Abstrakt
We summarize our recent construction of the phi(4)-model on four-dimensional Moyal space. This is achieved by solving the quartic matrix model for a general external matrix in terms of the solution of a non-linear equation for the 2-point function and the eigenvalues of that matrix. The beta-function vanishes identically. For the Moyal model, the theory of Carleman type singular integral equations reduces the construction to a fixed point problem. The resulting Schwinger functions in position space are symmetric and invariant under the full Euclidean group. The Schwinger 2-point function is reflection positive iff the diagonal matrix 2-point function is a Stieltjes function.
- Organisation(en)
- Mathematische Physik
- Externe Organisation(en)
- Universität Münster
- Journal
- Fortschritte der Physik
- Band
- 62
- Seiten
- 797-811
- Anzahl der Seiten
- 15
- ISSN
- 0015-8208
- DOI
- https://doi.org/10.1002/prop.201400020
- Publikationsdatum
- 09-2014
- Peer-reviewed
- Ja
- ÖFOS 2012
- 103019 Mathematische Physik
- Schlagwörter
- ASJC Scopus Sachgebiete
- Allgemeine Physik und Astronomie
- Link zum Portal
- https://ucrisportal.univie.ac.at/de/publications/44f02ee0-f9f4-4621-9113-80c95ea56112