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Furry Picture for Quantum Electrodynamics with Pair‐Creating External Field
Author(s) -
Fradkin E. S.,
Gitman D. M.
Publication year - 1981
Publication title -
fortschritte der physik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.469
H-Index - 71
eISSN - 1521-3978
pISSN - 0015-8208
DOI - 10.1002/prop.19810290902
Subject(s) - propagator , unitarity , physics , perturbation theory (quantum mechanics) , electromagnetic field , classical electromagnetism , quantum field theory , heisenberg picture , radiative transfer , perturbation (astronomy) , quantum electrodynamics , quantum , quantum mechanics , classical mechanics , mathematical physics , theoretical physics
In the paper the perturbation theory is constructed for QED, for which the interaction with the external pair‐creating field is kept exactly. An explicit expression for the perturbation theory causal electron propagator is found. Special features of usage of the unitarity conditions for calculating the total probabilities of radiative processes in the case are discussed. Exact Green functions are introduced and the functional formulation is discussed. Perturbation theory for calculating the mean values of the Heisenberg operators, in particular, of the mean electromagnetic field is built in the case under consideration. Effective Lagrangian which generates the exact equation for the mean electromagnetic field is introduced. Functional representations for the generating functionals introduced in the paper are discussed.