Noncommutative field theory on rank one symmetric spaces | Zendy

Pierre Bieliavsky | Zendy; Razvan Gurău | Zendy; Vincent Rivasseau | Zendy

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Noncommutative field theory on rank one symmetric spaces

Author(s) -

Pierre Bieliavsky,

Razvan Gurău,

Vincent Rivasseau

Publication year - 2009

Publication title -

journal of noncommutative geometry

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 1.037

H-Index - 26

eISSN - 1661-6960

pISSN - 1661-6952

DOI - 10.4171/jncg/32

Subject(s) - noncommutative geometry , mathematics , rank (graph theory) , field (mathematics) , noncommutative algebraic geometry , pure mathematics , triple system , algebra over a field , noncommutative quantum field theory , combinatorics

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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