- journal article metadata
European Mathematical Society Publishing House
2016-09-19 17:05:12
Journal of Noncommutative Geometry
J. Noncommut. Geom.
JNCG
1661-6952
1661-6960
Global analysis, analysis on manifolds
General
10.4171/JNCG
http://www.ems-ph.org/doi/10.4171/JNCG
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European Mathematical Society Publishing House
Zuerich, Switzerland
© European Mathematical Society
3
2009
1
Noncommutative field theory on rank one symmetric spaces
Pierre
Bieliavsky
Université Catholique de Louvain, LOUVAIN-LA NEUVE, BELGIUM
Razvan
Gurau
Ecole Polytechnique, PALAISEAU CEDEX, FRANCE
Vincent
Rivasseau
Université Paris Sud-XI, ORSAY CEDEX, FRANCE
Quantum field theory, symmetric spaces, noncommutative geometry
Quantum field theory has been shown recently renormalizable on flat Moyal space and better behaved than on ordinary space-time. Some models at least should be completely finite, even beyond perturbation theory. In this article a first step is taken to extend such theories to non-flat backgrounds such as solvable symmetric spaces.
Quantum theory
General
99
123
10.4171/JNCG/32
http://www.ems-ph.org/doi/10.4171/JNCG/32