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The semiclassical propagator in field theory

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arxiv hep-ph/9906411 v2 pith:CM2APS7S submitted 1999-06-17 hep-ph

Michael Joyce , Kimmo Kainulainen , Tomislav Prokopec This is my paper · ORCID
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keywords semiclassicalfieldapproximationpropagatortheoryagreesbackgroundcase
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We consider scalar field theory in a changing background field. As an example we study the simple case of a spatially varying mass for which we construct the semiclassical approximation to the propagator. The semiclassical dispersion relation is obtained by consideration of spectral integrals and agrees with the WKB result. Further we find that, as a consequence of localization, the semiclassical approximation necessarily contains quantum correlations in momentum space.

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