Longitudinal vector field Hamiltonians

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Abstract
A canonical transformation is used to study the Hamiltonian for the interaction of a Dirac field with a longitudinal vector field. The transformed Hamiltonian has a lower degree of formal divergence of its perturbation series than does the untransformed one. Its semirelativistic approximant has no divergences; hence, variational methods can be applied. The single-particle and infinite-uniform-matter cases are treated by variational methods in the semirelativistic approximation.