Non Commutative Field Theory on Rank One Symmetric Spaces

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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24 pages, no figures

Scientific paper

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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