Parametric Representation of Noncommutative Field Theory

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dc.creatorGurau, Razvan
dc.creatorRivasseau, Vincent
dc.date2006-06-09
dc.date.accessioned2026-07-07T11:07:20Z
dc.date.available2026-07-07T11:07:20Z
dc.descriptionIn 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.
dc.description31 pages,10 figures
dc.identifierhttps://arxiv.org/abs/math-ph/0606030
dc.identifierhttp://arxiv.org/abs/math-ph/0606030
dc.identifierCommun.Math.Phys.272:811-835,2007
dc.identifierdoi:10.1007/s00220-007-0215-5
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/189809
dc.subjectMathematical Physics
dc.subjectHigh Energy Physics - Theory
dc.titleParametric Representation of Noncommutative Field Theory
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