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arXiv · hep-th/9702151

Run-away solutions in relativistic spin 1/2 quantum electrodynamics

F. E. Low
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Abstract

The existence of run-away solutions in classical and non-relativistic quantum electrodynamics is reviewed. It is shown that the less singular high energy behavior of relativistic spin 1/2 quantum electrodynamics precludes an analogous behavior in that theory. However, a Landau-like anomalous pole in the photon propagation function or in the electron-massive photon foward scattering amplitude would generate a new run-away, characterized by an energy scale omega ~ m_e exp (1/alpha). This contrasts with the energy scale omega ~ (m_e/alpha) associated with the classical and non-relativistic quantum run-aways.

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F. E. Low. 1997-04-08. Run-away solutions in relativistic spin 1/2 quantum electrodynamics. https://doi.org/10.1006/aphy.1998.5801

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