Abstract
The problem of constructing nonrelativistic field theories which display a nontrivial spontaneous symmetry breakdown is considered within the framework of some simple soluble models. It is demonstrated by direct calculation that the formal construction of the symmetry-breaking solutions by means of an improper operator transformation is entirely equivalent to solving the equations for the Green's functions subject to a broken-symmetry condition. As an auxiliary result some useful techniques are developed for dealing with theories which do not have vacuum polarization effects.
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