Finite dimesional Hamiltonian formalism for gauge and field theories

Details Finite dimesional Hamiltonian formalism for gauge and field theories Finite dimesional Hamiltonian formalism for gauge and field theories

2000-10-23

arxiv.org/abs/math-ph/0010036v1

J.Math.Phys. 43 (2002) 2306-2347

Physics

Mathematical Physics

52 pages. In this paper we give a more general hamiltonian formulation for a gauge and field theories, it's an extension of ou

Scientific paper

10.1063/1.1467710

We discuss in this paper the canonical structure of classical field theory in finite dimensions within the {\it{pataplectic}} Hamiltonian formulation, where we put forward the role of Legendre correspondance. We define the generalized Poisson $\mathfrak{p}$-brackets which are the analogues of the Poisson bracket on forms. We formulate the equations of motion of forms in terms of $\mathfrak{p}$-brackets. As illustration of our formalism we present three examples: the interacting scalar fields, conformal string theory and the electromagnetic field.

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