The representation of the Heisenberg-Euler Lagrangian by means of special functions
- 1 September 1982
- journal article
- Published by IOP Publishing in Journal of Physics A: General Physics
- Vol. 15 (9) , 2905-2910
- https://doi.org/10.1088/0305-4470/15/9/038
Abstract
A representation of the real part of the Heisenberg-Euler Lagrangian density in quantum electrodynamics by means of special functions is obtained. It is shown that this representation is very convenient for numerical calculations of the real part of the Heisenberg-Euler Lagrangian density. It is indicated that this representation is of use for calculations of a quantum electrodynamical field energy density in the absence of real charges and for calculations of polarisation and magnetisation of the vacuum.Keywords
This publication has 11 references indexed in Scilit:
- Vacuum behavior in quantum chromodynamics. IIPhysical Review D, 1980
- Evaluation of the effective potential in quantum electrodynamicsPhysical Review D, 1979
- Photon splitting and photon dispersion in a strong magnetic fieldAnnals of Physics, 1971
- Nonlinear Effects in Quantum Electrodynamics. Photon Propagation and Photon Splitting in an External FieldPhysical Review D, 1970
- Photon Splitting in a Strong Magnetic FieldPhysical Review Letters, 1970
- Simplified Calculation of the Exponential IntegralMathematical Tables and Other Aids to Computation, 1958
- Tables of the Exponential Integral Ei(x)Mathematical Tables and Other Aids to Computation, 1957
- On Gauge Invariance and Vacuum PolarizationPhysical Review B, 1951
- Folgerungen aus der Diracschen Theorie des PositronsThe European Physical Journal A, 1936
- Über die Streuung von Licht an Licht nach der Diracschen TheorieAnnalen der Physik, 1936