Abstract
A typical configuration of a long free fundamental string is described as a free random walk. With self-gravitational interaction, the configuration contracts and eventually the size becomes comparable to the Schwarzschild radius of a black hole of the same energy, where the string configuration is identified with the corresponding black hole. We consider the size change of a long string at a fixed large excited level by use of tools developed in polymer physics. We introduce a contact self-repulsive interaction as well as Newtonian gravitational interaction and find that the size exhibits interesting scaling behaviors, which are summarized in diagrams.
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Kawamoto, S., Matsuo, T. (2018). Size Scaling of Self Gravitating Polymers and Strings. In: Nicolini, P., Kaminski, M., Mureika, J., Bleicher, M. (eds) 2nd Karl Schwarzschild Meeting on Gravitational Physics. Springer Proceedings in Physics, vol 208. Springer, Cham. https://doi.org/10.1007/978-3-319-94256-8_21
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DOI: https://doi.org/10.1007/978-3-319-94256-8_21
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