The Background Field Method and the Linearization Problem for Poisson Manifolds

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dc.creatorGrassi, P. A.
dc.creatorQuadri, A.
dc.date2004-03-26
dc.date2004-04-09
dc.date.accessioned2026-07-07T11:43:49Z
dc.date.available2026-07-07T11:43:49Z
dc.descriptionThe background field method (BFM) for the Poisson Sigma Model (PSM) is studied as an example of the application of the BFM technique to open gauge algebras. The relationship with Seiberg-Witten maps arising in non-commutative gauge theories is clarified. It is shown that the implementation of the BFM for the PSM in the Batalin-Vilkovisky formalism is equivalent to the solution of a generalized linearization problem (in the formal sense) for Poisson structures in the presence of gauge fields. Sufficient conditions for the existence of a solution and a constructive method to derive it are presented.
dc.description33 pp. LaTex, references and comments added
dc.identifierhttps://arxiv.org/abs/hep-th/0403265
dc.identifierhttp://arxiv.org/abs/hep-th/0403265
dc.identifierNucl.Phys.B706:549-568,2005
dc.identifierdoi:10.1016/j.nuclphysb.2004.10.046
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/201379
dc.subjectHigh Energy Physics - Theory
dc.subjectMathematical Physics
dc.titleThe Background Field Method and the Linearization Problem for Poisson Manifolds
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