Comments on QED with background electric fields

Abstract

It is well known that there is a total cancellation of the \emph{factorizable} IR divergences in unitary interacting field theories, such as QED and quantum gravity. In this note we show that such a cancellation does not happen in QED with background electric fields which can produce pairs. There is no factorization of the IR divergences.

14 pages, 1 figure

References in corpus (4)

• Vacuum instability in external fields
• Interacting Field Theories in de Sitter Space are Non-Unitary
• One-loop energy-momentum tensor in QED with electric-like background
• Back-Reaction In Lightcone QED

Cited by in corpus (14)

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• Particle creation in nonstationary large N quantum mechanics
• A simple way to take into account back reaction on pair creation
• Dynamical Casimir effect in nonlinear vibrating cavities
• Comparative study of loop contributions in AdS and dS
• Nonlinear dynamical Casimir effect at weak nonstationarity
• On quantization in background scalar fields
• Currents of created pairs in strong electric fields
• Out of equilibrium two-dimensional Yukawa theory in a strong scalar wave background