Parametric Representation of Noncommutative Field Theory
Abstract
In this paper we investigate the Schwinger parametric representation for the Feynman amplitudes of the recently discovered renormalizable φ44 quantum field theory on the Moyal non commutative R4 space. This representation involves new hyperbolic polynomials which are the non-commutative analogs of the usual "Kirchoff" or "Symanzik" polynomials of commutative field theory, but contain richer topological information.
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