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from Part I - General Properties of Fields; Scalars and Gauge Fields
Published online by Cambridge University Press: 04 March 2019
We examine Poisson brackets in field theory and the symplectic formulation of Hamiltonian dynamics. We start by describing the symplectic formulation of classical mechanics. Then we generalize it and Poisson brackets to field theory. As examples of the formalism, we consider a scalar field with canonical kinetic term and the nonlinear sigma model.
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