The Dyson instability and asymptotics of the perturbation series in QED
Abstract
The probability of the ground state decay at e2 < 0 is calculated by the steepest descent method in fermionic electrodynamics. The saddle points are the solution of some equations which have been obtained by calculating the asymptotic of the Dirac operator determinant in a very strong external field. The SO(3) × O(2) solutions are found explicitly. The main contribution from them to the Nth coefficient of perturbation theory is proportional to (-α) {N}/{2} Γ( {N}/{2}) , where S = 2 23 {-3}/{2} π 3.
- Publication:
-
Physics Letters B
- Pub Date:
- May 1978
- DOI:
- 10.1016/0370-2693(78)90278-2
- Bibcode:
- 1978PhLB...76..210B