Poisson brackets with divergence terms in field theories: two examples

Details Poisson brackets with divergence terms in field theories: two examples Poisson brackets with divergence terms in field theories: two examples

1997-03-01

arxiv.org/abs/solv-int/9703001v1

Nonlinear Sciences

Exactly Solvable and Integrable Systems

7 pages, LaTeX

Scientific paper

In field theories one often works with the functionals which are integrals of some densities. These densities are defined up to divergence terms (boundary terms). A Poisson bracket of two functionals is also a functional, i.e., an integral of a density. Suppose the divergence term in the density of the Poisson bracket be fixed so that it becomes a bilinear form of densities of two functionals. Then the left-hand side of the Jacobi identity written in terms of densities is not necessarily zero but a divergence of a trilinear form. The question is: what can be said about this trilinear form, what kind of a higher Jacobi identity (involving four fields) it enjoys? Two examples whose origin is the theory of integrable systems are given.

Affiliated with

Also associated with

No associations

Rating

Poisson brackets with divergence terms in field theories: two examples 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 Poisson brackets with divergence terms in field theories: two examples, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Poisson brackets with divergence terms in field theories: two examples will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-599935