The Background Field Method and the Linearization Problem for Poisson Manifolds

Details The Background Field Method and the Linearization Problem for Poisson Manifolds The Background Field Method and the Linearization Problem for Poisson Manifolds

2004-03-26

arxiv.org/abs/hep-th/0403265v2

Nucl.Phys.B706:549-568,2005

Physics

High Energy Physics

High Energy Physics - Theory

33 pp. LaTex, references and comments added

Scientific paper

10.1016/j.nuclphysb.2004.10.046

The 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.

Affiliated with

Also associated with

No associations

Rating

The Background Field Method and the Linearization Problem for Poisson Manifolds does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with The Background Field Method and the Linearization Problem for Poisson Manifolds, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The Background Field Method and the Linearization Problem for Poisson Manifolds will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-383524