Twisted Noncommutative Field Theory with the Wick-Voros and Moyal Products

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dc.creatorGalluccio, Salvatore
dc.creatorLizzi, Fedele
dc.creatorVitale, Patrizia
dc.date2008-10-12
dc.date.accessioned2026-07-07T11:45:53Z
dc.date.available2026-07-07T11:45:53Z
dc.descriptionWe present a comparison of the noncommutative field theories built using two different star products: Moyal and Wick-Voros (or normally ordered). For the latter we discuss both the classical and the quantum field theory in the quartic potential case, and calculate the Green's functions up to one loop, for the two and four points cases. We compare the two theories in the context of the noncommutative geometry determined by a Drinfeld twist, and the comparison is made at the level of Green's functions and S-matrix. We find that while the Green's functions are different for the two theories, the S-matrix is the same in both cases, and is different from the commutative case.
dc.descriptionThis is the merging of two previous postings: arXiv:0807.1492 and arXiv:0807.1498
dc.identifierhttps://arxiv.org/abs/0810.2095
dc.identifierhttp://arxiv.org/abs/0810.2095
dc.identifierPhys.Rev.D78:085007,2008
dc.identifierdoi:10.1103/PhysRevD.78.085007
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/202034
dc.subjectHigh Energy Physics - Theory
dc.titleTwisted Noncommutative Field Theory with the Wick-Voros and Moyal Products
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