Closed-form two-loop Euler-Heisenberg Lagrangian in a self-dual background
High Energy Physics - Theory
2009-11-07 v1 High Energy Physics - Phenomenology
Abstract
We show that the two-loop Euler-Heisenberg effective Lagrangian for scalar QED in a constant Euclidean self-dual background has a simple explicit closed form expression in terms of the digamma function. This result leads to a simple analysis of the weak- and strong-field expansions, the two-loop scalar QED beta function, and the analytic continuation properties of the effective Lagrangian and its imaginary part.
Cite
@article{arxiv.hep-th/0111134,
title = {Closed-form two-loop Euler-Heisenberg Lagrangian in a self-dual background},
author = {Gerald V. Dunne and Christian Schubert},
journal= {arXiv preprint arXiv:hep-th/0111134},
year = {2009}
}
Comments
8 pages, latex