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Landau singularity and the instability of vacuum state in QED

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Referee this paper: arXiv:0806.2196v1 by Mofazzal Azam

Please use comments to point to previous work in this direction, and reviews to referee the accuracy of the paper. Feel free to edit this submission to summarise the paper (just click on edit, your summary will then appear under the horizontal line)

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A 2008 paper by M. Azam.

''Quantum Eletrodynamics (QED) is considered as the most successful of all physical theories. It can predict numerical values of physical quantities to a spectacular degree of accuracy. However, from the very early days it has been known that, in QED, there are two important problems which are linked with the very foundation of the theory. In 1952, Dyson put forward strong arguments to suggest that the perturbation seires in quantum electrodynamics can not be convergent. Just three years latter, in 1955, Landau argued that the effective running coupling constant in QED has a pole (Landau singularity) albeit at some very high energy scale. This paper addresses, in details, the question of stability of perturbative vacuum state of QED in the light of these two well known problems.
Landau has been a cult-like figure for many of us who studied theoretical physics in the former Soviet Union. As an undergraduate student in the department of theoretical physics of People's Friendship University, Moscow, in 1970's, I grew up hearing colourful stories about the legendary persona of Lev Davidovich from my teachers some of whom had known him at personal level. It is a great honour for me to contribute this article to the Landau centenary volume of Eletronics Journal of Theoretical Physics.''

summarized by Dilaton , Arnold Neumaier
paper authored Jun 13, 2008 to Reviews I by  (no author on PO assigned yet) 
  • [ revision history ]
    edited Aug 27, 2014 by Arnold Neumaier

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