Noncommutative field theory on rank one symmetric spaces

Bieliavsky, Pierre;Gurau, Razvan;Rivasseau, Vincent
(2009) Journal of Noncommutative Geometry — Vol. 3, n° 1, p. 99-123 (2009)

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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.
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Bieliavsky, P., Gurau, R., & Rivasseau, V. (2009). Noncommutative field theory on rank one symmetric spaces. Journal of Noncommutative Geometry, 3(1), 99-123. https://doi.org/10.4171/JNCG/32 (Original work published 2009)