Dyson-Schwinger equations in scalar electrodynamics
A V Berezin, A A Mironov, E S Sozinov, A M Fedotov
TL;DR
This paper derives Dyson-Schwinger equations for scalar QED in external fields, revealing their structure, diagrammatic interpretation, and the inclusion of an exact three-photon interaction vertex.
Contribution
It introduces the exact form of Dyson-Schwinger equations for scalar QED with external electromagnetic fields, including a novel three-photon interaction vertex.
Findings
Derived Dyson-Schwinger equations for scalar QED in external fields
Provided diagrammatic interpretation of mass and polarization operators
Identified the inclusion of an exact three-photon interaction vertex
Abstract
Counterparts of the Dyson-Schwinger equations for scalar QED in an external electromagnetic field are derived. Exact structure and diagrammatic interpretation of the corresponding mass and polarization operators are obtained. It is shown that in the presence of an external field the final equations include an exact three-photon interaction vertex.
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Taxonomy
TopicsCold Atom Physics and Bose-Einstein Condensates · Quantum Chromodynamics and Particle Interactions · Quantum Mechanics and Applications