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arXiv · 2411.04754

Scaling law for membrane lifetime

Osamu Fukushima·Tomohiro Shigemura·Kentaroh Yoshida
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Abstract

Membrane configurations in the Banks-Fischler-Shenker-Susskind matrix model are unstable due to the existence of flat directions in the potential and the decay process can be seen as a realization of chaotic scattering. In this note, we compute the lifetime of a membrane in a reduced model. The resulting lifetime exhibits scaling laws with respect to energy, coupling constant and a cut-off scale. We numerically evaluate the scaling exponents, which cannot be fixed by the dimensional analysis. Finally, some applications of the results are discussed.

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Osamu Fukushima, Tomohiro Shigemura, Kentaroh Yoshida. 2024-11-07. Scaling law for membrane lifetime. https://arxiv.org/abs/2411.04754

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