Classical amplitude operators of free quantum electrodynamics formulated in a loop space

Summary

We propose a way to extract the semi-classical approximation from nonrelativistic free quantum field theory formulated in a loop space. In this formulation we introduce the operators of the classical electromagnetic field, whose eigenvalues are the corresponding classical fields, and whose eigenfunctions are the coherent states. We also present arguments that suggest the adequacy of the loop space to study a system ofN independent oscillators in the continuum limit.