Abstract
It is shown that the Bruhat-Tits tree for thep-adic linear groupGL(2) is a natural non-archimedean analog of the open string world sheet. The boundary of the tree can be identified with the field ofp-adic numbers. We construct a “lattice” quantum field theory on the Bruhat-Tits tree with a simple local lagrangian and show that it leads to the Freund-Olson amplitudes for emission processes of the particle states from the boundary.
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Communicated by A. Jaffe
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Zabrodin, A.V. Non-archimedean strings and Bruhat-Tits trees. Commun.Math. Phys. 123, 463–483 (1989). https://doi.org/10.1007/BF01238811
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DOI: https://doi.org/10.1007/BF01238811