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Heuristic Hamiltonian for fermions interacting via meson fields
Phys. Rev. D 14, 2008 – Published 15 October, 1976
DOI: https://doi.org/10.1103/PhysRevD.14.2008
Abstract
The splitting of the Dirac field operator into two two-component parts corresponding to particle and antiparticle field operators is used to make a no-pair, low-momentum-transfer approximation to the fermion current densities that appear in the Hamiltonians that characterize the interaction of the Dirac field with scalar, vector, and pseudoscalar fields. The resulting approximate Hamiltonians can only be regarded as heuristic, but they describe interesting quantum field theories without ultraviolet divergences. The properties of the scalar and vector theories are described in some detail; in particular, the energy per particle for infinite uniform matter is given in the Fermi-sea approximation.
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Omitted endnote
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