The boundary theory of a spinor field theory on the Bruhat-Tits tree

preprint2020arXivOpen access

Abstract

For a spinor field theory on the Bruhat-Tits tree, we calculate the action and the partition function of its boundary theory by integrating out the interior of the Bruhat-Tits tree. We found that the boundary theory is very similar to a scalar field theory over p-adic numbers.

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