THE EULER-HEISENBERG LAGRANGIAN BEYOND ONE LOOP

IDRISH HUET, MICHEL RAUSCH DE TRAUBENBERG, CHRISTIAN SCHUBERT
2012 International Journal of Modern Physics, Conference Series  
We review what is presently known about higher loop corrections to the Euler-Heisenberg Lagrangian and its Scalar QED analogue. The use of those corrections as a tool for the study of the properties of the QED perturbation series is outlined. As a further step in a long-term effort to prove or disprove the convergence of the N photon amplitudes in the quenched approximation, we present a parameter integral representation of the three-loop Euler-Heisenberg Lagrangian in 1+1 dimensional QED, obtained in the worldline formalism.
doi:10.1142/s2010194512007507 fatcat:yg44fpoqevdihl424ms4xk2uhu