Asymptotic estimates in quantum electrodynamics
- 15 August 1977
- journal article
- Published by American Physical Society (APS) in Physical Review D
- Vol. 16 (4), 996-1013
- https://doi.org/10.1103/physrevd.16.996
Abstract
We discuss various aspects of the estimate of large orders of perturbation theory in quantum electrodynamics. Gauge-invariant subclasses of diagrams corresponding to a fixed number of fermion loops have a behavior dominated by solutions to the coupled Maxwell and Dirac equations for complex values of the charge. We present numerical evidence for the existence of such solutions. The complete theory involving an arbitrary number of fermion loops is expected to exhibit strong cancellations. We show the relation of this problem to the Thomas-Fermi approximation and raise some related mathematical questions. DOI: http://dx.doi.org/10.1103/PhysRevD.16.996 © 1977 The American Physical SocietyKeywords
This publication has 28 references indexed in Scilit:
- Perturbation theory at large order. I. TheinteractionPhysical Review D, 1977
- Perturbation theory at large order. II. Role of the vacuum instabilityPhysical Review D, 1977
- Asymptotic estimates in perturbation theory with fermionsPhysics Letters B, 1977
- Asymptotic Estimates in Scalar ElectrodynamicsPhysical Review Letters, 1977
- Asymptotic estimates in perturbation theoryPhysics Letters B, 1977
- Anharmonic Oscillator. II. A Study of Perturbation Theory in Large OrderPhysical Review D, 1973
- Large-Order Behavior of Perturbation TheoryPhysical Review Letters, 1971
- Borel summability: Application to the anharmonic oscillatorPhysics Letters B, 1970
- Theory of the condensation pointAnnals of Physics, 1967
- Divergence of Perturbation Theory in Quantum ElectrodynamicsPhysical Review B, 1952