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Non Commutative Field Theory on Rank One Symmetric Spaces

High Energy Physics - Theory 2011-04-22 v1 Mathematical Physics math.MP Symplectic Geometry

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.

Keywords

Cite

@article{arxiv.0806.4255,
  title  = {Non Commutative Field Theory on Rank One Symmetric Spaces},
  author = {P. Bieliavsky and R. Gurau and V. Rivasseau},
  journal= {arXiv preprint arXiv:0806.4255},
  year   = {2011}
}

Comments

24 pages, no figures

R2 v1 2026-06-21T10:54:32.751Z