Ground states of a model in quantum electrodynamics
Abstract
The system of one charged non-relativistic particle with a class of external potentials minimally coupled to a massless quantized radiation field without the dipole approximation is considered. An ultraviolet cut-off is imposed on the quantized radiation field, the charged particle has spin 1/2 and the class of external potentials contains the Coulomb potential. It is shown that the ground states of the system exist provided that a coupling constant is in a region, and an expression of the ground state energy of the system is given by a functional integral containing a vector-v,1.lucd stochastic integral.
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