Non Commutative Field Theory on Rank One Symmetric Spaces

preprint2008arXivOpen access

Abstract

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 paper a first step is taken to extend such theories to non-flat backgrounds such as solvable symmetric spaces.

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