Quantization of a self-interacting maximally charged string

Details Quantization of a self-interacting maximally charged string Quantization of a self-interacting maximally charged string

2001-09-24

arxiv.org/abs/hep-th/0109190v1

Phys.Lett. B524 (2002) 192-198

Physics

High Energy Physics

High Energy Physics - Theory

11 pages

Scientific paper

10.1016/S0370-2693(01)01377-6

We discuss the quantization of a self-interacting string consisting of maximally charged matter. We construct the Hamiltonian in the non-relativistic limit by expanding around a static solution of the Einstein-Maxwell field equations. Conformal symmetry is broken on the worldsheet, but a subgroup of the conformal group acts as the gauge group of the theory. Thus, the Faddeev-Popov quantization procedure of fixing the gauge is applicable. We calculate the Hamiltonian and show that, if properly quantized, the system possesses a well-defined ground state and the spacing of its energy levels is of order the Planck mass. This generalizes earlier results on a system of maximally charged black holes to the case of continuous matter distributions.

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