Parametric Representation of Noncommutative Field Theory

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In this paper we investigate the Schwinger parametric representation for the Feynman amplitudes of the recently discovered renormalizable $ϕ^4_4$ 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.
31 pages,10 figures

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Mathematical Physics, High Energy Physics - Theory

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http://salesiana.dossiersoluciones.com/handle/123456789/189809

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math-ph/0606030
 http://arxiv.org/abs/math-ph/0606030
 Commun.Math.Phys.272:811-835,2007
 doi:10.1007/s00220-007-0215-5

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arXiv