# A particle-field Hamiltonian in relativistic quantum electrodynamics

@article{Arai2000APH, title={A particle-field Hamiltonian in relativistic quantum electrodynamics}, author={Asao Arai}, journal={Journal of Mathematical Physics}, year={2000}, volume={41}, pages={4271-4283} }

We mathematically analyze a Hamiltonian Hτ(V,g) of a Dirac particle—a relativistic charged particle with spin 1/2—minimally coupled to the quantized radiation field, acting in the Hilbert space F≔[⊕4L2(R3)]⊗Frad, where Frad is the Fock space of the quantized radiation field in the Coulomb gauge, V is an external potential in which the Dirac particle moves, g is a photon-momentum cutoff function in the interaction between the Dirac particle and the quantized radiation field, and τ∈R is a…

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