Heisenberg-Euler Effective Lagrangians : Basics and Extensions

By G. Dunne. 2004

427 citations recorded by the source corpus.

I present a pedagogical review of Heisenberg-Euler effective Lagrangians, beginning with the original work of Heisenberg and Euler, and Weisskopf, for the one loop effective action of quantum electrodynamics in a constant electromagnetic background field, and then summarizing some of the important applications and generalizations to inhomogeneous background fields, nonabelian backgrounds, and higher loop effective Lagrangians.

Subfields: Atomic and Molecular Physics, and Optics, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/2da82f97cb5e904b31b926f96d38f3d28d89237a

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In Atomic and Molecular Physics, and Optics

In Nuclear and High Energy Physics

Citations in the corpus

Photon and graviton mass limits (2008, background): “This work also has a living legacy, as reviewed recently by Dunne (16).”
Borel and Stokes Nonperturbative Phenomena in Topological String Theory and c = 1 Matrix Models (2009, methodology): “representation given by Schwinger [27] (see, e.g., [ 31 ] for a recent review)”
Nonlinear collective effects in photon-photon and photon-plasma interactions (2006, background): “(5) below] and its generalizations (Dittrich and Gies, 2000; Dunne, 2004; Valluri et al., 2003), gives nonlinear corrections to Maxwell’s vacuum equations, similar to the self-interaction terms encountered in nonlinear optics due to the presence of a Kerr medium (Agrawal, 2001; Bloembergen, 1996),…”
Electron-positron pairs in physics and astrophysics: from heavy nuclei to black holes (2009, background): “66) Readers can consult the recent review article [207], where one finds discussions and computations of the effective Lagrangian at the two-loop level, and [208] for discussion of pair production rate.”