Tuesday, January 22, 2013

1301.4837 (A. O. Barut et al.)

Radiation Reaction and the Electromagnetic Energy-Momentum of Moving
Relativistic Charged Membranes
   [PDF]

A. O. Barut, M. Pavšič
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 ${T^{\mu \nu}}_{, \nu}$) is due to surface tension $\kappa$ of the membrane, but the model is as simple as the point particle, with two parameters $\kappa$ and $e$; the surface tension parameter $\kappa$ can be expressed in terms of the mass $m$.
View original: http://arxiv.org/abs/1301.4837

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