Two loop Euler-Heisenberg QED pair production rate

We study the divergence of large-order perturbation theory in the worldline expression for the two-loop Euler-Heisenberg QED effective Lagrangian in a constant magnetic field. The leading rate of divergence is identical, up to an overall factor, to that of the one-loop case. From this we deduce, using Borel summation techniques, that the leading behaviour of the imaginary part of the two-loop effective Lagrangian for a constant E field, giving the pair-production rate, is proportional to the one-loop result. This also serves as a test of the mass renormalization, and confirms the earlier analysis by Ritus.

12.20.-m
11.15.Bt
11.15.Tk
Effective action
Euler–Heisenberg
Pair production
Borel summation
Two-loop
quantum electrodynamics
fermion: pair production

References(22)

Figures(0)

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