Radiation reaction and the electromagnetic energy-momentum of moving relativistic charged membranes
Abstract
The charged membrane of Dirac provides a stable electron model with finite self-energy. Its total mass m has been previously calculated from the Hamiltonian of the membrane. To complete the picture we evaluate it here on the basis of the energy-momentum of its self-field (radiation reaction) and obtain the same result showing the consistency of the model. We show explicitly that the old {4}/{3}-problem does not arise. The electron's stability (the vanishing of total Tμv, v) is du to surface tension κ of the membrane, but the model is as simple as the point particle, with two parameters κ and e; the surface tension parameter κ can be expressed in terms of the mass m.
- Publication:
-
Physics Letters B
- Pub Date:
- June 1994
- DOI:
- 10.1016/0370-2693(94)90941-5
- arXiv:
- arXiv:1301.4837
- Bibcode:
- 1994PhLB..331...45B
- Keywords:
-
- High Energy Physics - Theory;
- General Relativity and Quantum Cosmology
- E-Print:
- 12 pages