# Contents

## Idea

Given an (local) action functional the Peierls bracket is a canonical Poisson structure on its covariant phase space.

## References

• R. Peierls, The commutation laws of relativistic field theory (1952) (jstor)

In this article the Peierls bracket on the covariant phase space of a non-gauge system is defined and equivalence with the Hamiltonian phase space symplectic structure is proven.

See also exercise 17.12 in

Created on March 8, 2011 15:04:02 by Urs Schreiber (131.211.232.88)