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arxiv: hep-th/0107135 · v2 · submitted 2001-07-16 · ✦ hep-th

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QED Effective Action Revisited

Ulrich D. Jentschura , Holger Gies , Sree Ram Valluri , Darrell R. Lamm , Ernst Joachim Weniger
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classification ✦ hep-th
keywords actioneffectivederivationquantumrepresentationaccelerationapplicationconsider
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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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  1. Heisenberg-Euler and the Quantum Dilogarithm

    hep-th 2025-12 conditional novelty 7.0

    Heisenberg-Euler effective Lagrangian is recast as a dispersion integral with the quantum dilogarithm as kernel, its imaginary part given directly by the dilogarithm and its real part involving the modular dual.