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[en] The Coulomb interaction 1/|x| for the Dirac equation in one space dimension is singular in the sense that there exists a four-parameter family of self-adjoint extensions of the associated Hamiltonian operator. The purpose of this paper is to represent the dynamical group generated by some of the self-adjoint extensions as a path integral. The Feynman-Kac functional we use is constructed by a renormalization process that subtracts divergences as paths cross the isolated singularity x=0 of the interaction
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