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