Heisenberg-Euler Effective Lagrangians : Basics and Extensions
read the original abstract
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.
This paper has not been read by Pith yet.
Forward citations
Cited by 6 Pith papers
-
The Free Particle--Oscillator--Inverted Oscillator Triangle: Conformal Bridges, Metaplectic Rotations and $\mathfrak{osp}(1|2)$ Structure
The free particle, harmonic oscillator, and inverted oscillator are unified as parabolic, elliptic, and hyperbolic realizations of the same conformal module, with explicit mappings between their states, coherent state...
-
Euler-Heisenberg actions in higher dimensions
Closed-form expression for the six-dimensional Euler-Heisenberg action in QED is derived via extended proper-time methods, with pair production analysis in d dimensions and a dimension-6 conformal primary determining ...
-
Heisenberg-Euler and the Quantum Dilogarithm
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.
-
Leading low-temperature correction to the Heisenberg-Euler Lagrangian
The leading low-T correction to the two-loop Heisenberg-Euler Lagrangian is extracted from derivatives of the one-loop zero-T version via real-time formalism, then dressed with tadpoles and resummed to all loops.
-
Classical constant electric fields and the Schwinger effect in de Sitter
Constant electric fields in de Sitter require a tachyonic photon mass ~H, yielding finite positive Schwinger currents for massless fermions and scalars after on-shell renormalization.
-
Introductory Lectures on Resurgence: CERN Summer School 2024
Introductory lectures cover resurgent asymptotics using examples like the Airy function, nonlinear Stokes phenomenon, Heisenberg-Euler action, and resurgent continuation.
discussion (0)
Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.