English

Effective field theory on a finite boundary of the Bruhat-Tits tree

High Energy Physics - Theory 2021-04-26 v3

Abstract

Based on bulk reconstruction from the finite boundary of the Bruhat-Tits tree, the boundary effective theory is obtained after integrating out fields outside this boundary. According to the  p~p-adic version of Anti-de Sitter/Conformal Field Theory duality, two-point functions of dual theory living on the finite boundary are read out from the effective action. They can be regarded as two-point functions of a deformed conformal field theory over  p~p-adic numbers.

Keywords

Cite

@article{arxiv.2103.02882,
  title  = {Effective field theory on a finite boundary of the Bruhat-Tits tree},
  author = {Feng Qu},
  journal= {arXiv preprint arXiv:2103.02882},
  year   = {2021}
}

Comments

v2: 13 pages, 5 figures, accepted version, to appear in PRD; v3: typos corrected, title changed to match the published version