The excitation of a charged string passing through a shock wave in a charged Aichelburg-Sexl spacetime

Details The excitation of a charged string passing through a shock wave in a charged Aichelburg-Sexl spacetime The excitation of a charged string passing through a shock wave in a charged Aichelburg-Sexl spacetime

2000-07-26

arxiv.org/abs/hep-th/0007210v2

Nucl.Phys. B598 (2001) 115-133

Physics

High Energy Physics

High Energy Physics - Theory

Latex, 20 pages, no figures, accepted for Nucl. Phys. B

Scientific paper

10.1016/S0550-3213(00)00727-6

We investigate how much a first-quantized charged bosonic test string gets excited after crossing a shock wave generated by a charged particle with mass $\tilde{M}$ and charge $\tilde{Q}$. On the basis of Kaluza-Klein theory, we pay attention to a closed string model where charge is given by a momentum along a compactified extra-dimension. The shock wave is given by a charged Aichelburg-Sexl (CAS) spacetime where $\tilde{Q}=0$ corresponds to the ordinary Aichelburg-Sexl one. We first show that the CAS spacetime is a solution to the equations of motion for the metric, the gauge field, and the axion field in the low-energy limit. Secondly, we compute the mass expectation value of the charged test string after passing through the shock wave in the CAS spacetime. In the case of small $\tilde{Q}$, gravitational and Coulomb forces are canceled out each other and hence the excitation of the string remains very small. This is independent of the particle mass $\tilde{M}$ or the strength of the shock wave. In the case of large $\tilde{Q}$, however, every charged string gets highly excited by quantum fluctuation in the extra-dimension caused by both the gauge and the axion fields. This is quite different from classical "molecule", which consists of two electrically charged particles connected by a classical spring.

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