Physics – Mathematical Physics
Scientific paper
2006-06-09
Commun.Math.Phys.272:811-835,2007
Physics
Mathematical Physics
31 pages,10 figures
Scientific paper
10.1007/s00220-007-0215-5
In this paper we investigate the Schwinger parametric representation for the Feynman amplitudes of the recently discovered renormalizable $\phi^4_4$ quantum field theory on the Moyal non commutative ${\mathbb R^4}$ space. This representation involves new {\it hyperbolic} polynomials which are the non-commutative analogs of the usual "Kirchoff" or "Symanzik" polynomials of commutative field theory, but contain richer topological information.
Gurau Razvan
Rivasseau Vincent
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