Abstract
Abstract Following an earlier work we derive a gauge-independent canonical structure for a fully relativistic multicomponent plasma theory. The Klimontovich form of the distribution function is used to derive the basic Poisson bracket relations for the canonical variables ⨍ α , B , and E . The Poisson bracket relations provide an explicit canonical realization of the Lie algebra of the Poincare group and they lead to the correct transformation properties for the canonical variables. We stress the importance of a canonical realization of the full symmetry group of the evolution equations. The covariance of the theory under the symmetry group can be used as a criterion to discriminate among different canonical structures for the evolution equations.
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