Article

Singular structure of the QED effective action

B. A. FayzullaevDepartment of Theoretical Physics, National University of Uzbekistan, University st. 4, Tashkent 100174, Uzbekistan

International Journal of Modern Physics Conference Seriesjournal2019en

ABI

Abstract

The equations for the QED effective action derived in Ref. 3 are considered using singular perturbation theory. The effective action is divided into regular and singular (in coupling constant) parts. It is shown that expression for the regular part coincides with usual Feynman perturbation series over coupling constant, while the remainder has essential singularity at the vanishing coupling constant: [Formula: see text]. This means that in the frame of quantum field theory it is impossible “to switch off” electromagnetic interaction in general and pass on to “free electron”.

Topics

Particle Accelerators and Free-Electron Lasers Quantum and Classical Electrodynamics Cosmology and Gravitation Theories

Identifiers

DOI: 10.1142/s2010194519600061

Citations and references

Cited by 05 references

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