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We propose a new application of the Gutzwiller trace formula formalism, to give a compact expression for the semiclassical vacuum pair production rate in quantum electrodynamics, for general inhomogeneous electromagnetic background fields.
W. Heisenberg and H. Euler, “Consequences of Dirac’s Theory of Positrons”, Z. Phys. 98
1936
Earlier work this paper cites.
J. Schwinger, “On gauge invariance and vacuum polarization”, Phys. Rev. 82
1951
Earlier work this paper cites.
R. P. Feynman, “Mathematical formulation of the quantum theory of electromagnetic interaction”, Phys. Rev. 80
1951
Earlier work this paper cites.
Y. Nambu, “Quantum Electrodynamics in Nonlinear Gauge”, Prog. Theor. Phys. Suppl., p 190 (1968). We are indebted to Ö. Sarıoğlu and B. Tekin for this reference
1968
Earlier work this paper cites.
N. B. Narozhnyi and A. I. Nikishov, “The simplest processes in a pair-producing field”, Yad. Fiz. 11
1970
Earlier work this paper cites.
1970
Earlier work this paper cites.
M. C. Gutzwiller, “Periodic orbits and classical quantization conditions,” J. Math. Phys. 12
1971
Earlier work this paper cites.
E. Brézin and C. Itzykson, “Pair Production In Vacuum By An Alternating Field,” Phys. Rev. D 2
1972
Cited alongside, same era.
M. B. Halpern, A. Jevicki and P. Senjanovic, “Field Theories in Terms of Particle-String Variables: Spin, Internal Symmetry and Arbitrary Dimension” , Phys. Rev. D 16
1977
Cited alongside, same era.
S. Levit and U. Smilansky, “A New Approach To Gaussian Path Integrals And The Evaluation Of The Semiclassical Propagator,” Annals Phys. 103
1977
Cited alongside, same era.
I. K. Affleck, O. Alvarez and N. S. Manton, “Pair Production At Strong Coupling In Weak External Fields,” Nucl. Phys. B 197
1982
Cited alongside, same era.
R. G. Littlejohn, “Semiclassical structure of trace formulas”, J. Math. Phys. 31
1990
Cited alongside, same era.
For an extensive review, see: C. Schubert, “Perturbative quantum field theory in the string-inspired formalism,” Phys. Rept. 355
2001
Later among the works it cites.
P. Cvitanović et al., Chaos: Classical and Quantum
2003
Later among the works it cites.
A. Ringwald, “Fundamental physics at an X-ray free electron laser”, in Proceedings of Erice Workshop On Electromagnetic Probes Of Fundamental Physics
2003
Later among the works it cites.
H. Gies and K. Klingmüller, “Pair production in inhomogeneous fields,” Phys. Rev. D 72
2005
Later among the works it cites.
S. P. Kim and D. N. Page, “Schwinger pair production via instantons in a strong electric field,” Phys. Rev. D 65
2006
Later among the works it cites.
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F. Cooper, J. M. Eisenberg, Y. Kluger, E. Mottola and B. Svetitsky, “Particle production in the central rapidity region,” Phys. Rev. D 48
1993
Cited alongside, same era.
G. V. Dunne, “Heisenberg-Euler effective Lagrangians: Basics and extensions,” Ian Kogan Memorial Collection, ’From Fields to Strings: Circumnavigating Theoretical Physics’
Cited in the paper.
2006
Later among the works it cites.