Bering's proposal for boundary contribution to the Poisson bracket

Details Bering's proposal for boundary contribution to the Poisson bracket Bering's proposal for boundary contribution to the Poisson bracket

1999-01-23

arxiv.org/abs/hep-th/9901112v1

Physics

High Energy Physics

High Energy Physics - Theory

18 pages, LaTeX, amssymb

Scientific paper

It is shown that the Poisson bracket with boundary terms recently proposed by Bering (hep-th/9806249) can be deduced from the Poisson bracket proposed by the present author (hep-th/9305133) if one omits terms free of Euler-Lagrange derivatives ("annihilation principle"). This corresponds to another definition of the formal product of distributions (or, saying it in other words, to another definition of the pairing between 1-forms and 1-vectors in the formal variational calculus). We extend the formula (initially suggested by Bering only for the ultralocal case with constant coefficients) onto the general non-ultralocal brackets with coefficients depending on fields and their spatial derivatives. The lack of invariance under changes of dependent variables (field redefinitions) seems a drawback of this proposal.

Affiliated with

Also associated with

No associations

Rating

Bering's proposal for boundary contribution to the Poisson bracket 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 Bering's proposal for boundary contribution to the Poisson bracket, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Bering's proposal for boundary contribution to the Poisson bracket will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-652982