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Pré-Publication, Document De Travail Année : 2006

Parametric Representation of Noncommutative Field Theory

Résumé

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.

Dates et versions

hal-00118892 , version 1 (07-12-2006)

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Razvan Gurau, Vincent Rivasseau. Parametric Representation of Noncommutative Field Theory. 2006. ⟨hal-00118892⟩
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