Covariant brackets for particles and fields Articles uri icon

publication date

  • June 2017

issue

  • 19 (1750100)

volume

  • 32

International Standard Serial Number (ISSN)

  • 0217-7323

Electronic International Standard Serial Number (EISSN)

  • 1793-6632

abstract

  • A geometrical approach to the covariant formulation of the dynamics of relativistic systems is introduced. A realization of Peierls brackets by means of a bivector field over the space of solutions of the Euler-Lagrange equations of a variational principle is presented. The method is illustrated with some relevant examples.

keywords

  • peierls brackets; covariant formalism; field theory; poisson brackets