Star products made (somewhat) easier

Simple item page
dc.creatorKupriyanov, V. G.
dc.creatorVassilevich, D. V.
dc.date2008-06-27
dc.date2008-11-03
dc.date.accessioned2026-07-07T12:14:51Z
dc.date.available2026-07-07T12:14:51Z
dc.descriptionWe develop an approach to the deformation quantization on the real plane with an arbitrary Poisson structure which based on Weyl symmetrically ordered operator products. By using a polydifferential representation for deformed coordinates $\hat x^j$ we are able to formulate a simple and effective iterative procedure which allowed us to calculate the fourth order star product (and may be extended to the fifth order at the expense of tedious but otherwise straightforward calculations). Modulo some cohomology issues which we do not consider here, the method gives an explicit and physics-friendly description of the star products.
dc.description20 pages, v2, v3: comments and references added
dc.identifierhttps://arxiv.org/abs/0806.4615
dc.identifierhttp://arxiv.org/abs/0806.4615
dc.identifierEur.Phys.J.C58:627-637,2008
dc.identifierdoi:10.1140/epjc/s10052-008-0804-2
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/211333
dc.subjectHigh Energy Physics - Theory
dc.subjectMathematical Physics
dc.subjectQuantum Algebra
dc.titleStar products made (somewhat) easier
dc.typetext

Files

Collections

arXiv