The Poisson structure of the mean-field equations in the Phi^4 theory

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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12 pages Tex

Scientific paper

10.1006/aphy.1998.5875

We show that the mean-field time dependent equations in the Phi^4 theory can
be put into a classical non-canonical hamiltonian framework with a Poisson
structure which is a generalization of the standard Poisson bracket. The
Heisenberg invariant appears as a structural invariant of the Poisson tensor.
(To be pubished in Annals of Physics)

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