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

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 $p$-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 $p$-adic numbers.

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

References in corpus (4)

• Geodesic bulk diagrams on the Bruhat-Tits tree
• On the Exchange Interactions in Holographic p-adic CFT
• The boundary theory of a spinor field theory on the Bruhat-Tits tree
• Bounds on the Ricci curvature and solutions to the Einstein equations for weighted graphs

Cited by in corpus (2)

• Finite Temperature at Finite Places
• Effective field theories on subspaces of the Bruhat-Tits tree