Non-archimedean strings and Bruhat-Tits trees

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51 Citations (Scopus)

Abstract

It is shown that the Bruhat-Tits tree for the p-adic linear group GL(2) is a natural non-archimedean analog of the open string world sheet. The boundary of the tree can be identified with the field of p-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.

Original languageEnglish
Pages (from-to)463-483
Number of pages21
JournalCommunications in Mathematical Physics
Volume123
Issue number3
DOIs
Publication statusPublished - Sep 1989
Externally publishedYes

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