QED Effective Action Revisited
Ulrich D. Jentschura, Holger Gies, Sree Ram Valluri, Darrell R. Lamm,, Ernst Joachim Weniger
TL;DR
This paper revisits a convergent series representation of the quantum electrodynamic effective action, providing detailed derivations, exploring electric-magnetic duality, and applying convergence acceleration for efficient numerical evaluation.
Contribution
It offers a detailed reexamination of a convergent series for the QED effective action, linking duality and enhancing numerical methods.
Findings
Detailed derivation of the series representation
Connection between duality and integral representation
Improved numerical evaluation techniques
Abstract
The derivation of a convergent series representation for the quantum electrodynamic effective action obtained by two of us (S.R.V. and D.R.L.) in [Can. J. Phys. vol. 71, p. 389 (1993)] is reexamined. We present more details of our original derivation. Moreover, we discuss the relation of the electric-magnetic duality to the integral representation for the effective action, and we consider the application of nonlinear convergence acceleration techniques which permit the efficient and reliable numerical evaluation of the quantum correction to the Maxwell Lagrangian.
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