Covariant Jacobi brackets for test particles Articles uri icon

publication date

  • July 2017


  • 23 (1750122)


  • 32

International Standard Serial Number (ISSN)

  • 0217-7323

Electronic International Standard Serial Number (EISSN)

  • 1793-6632


  • We show that the space of observables of test particles has a natural Jacobi structure which is manifestly invariant under the action of the Poincare group. Poisson algebras may be obtained by imposing further requirements. A generalization of Peierls procedure is used to extend this Jacobi bracket to the space of time-like geodesics on Minkowski spacetime.


  • jacobi brackets; covariant formalism; field theory