2000/04/06 by David B. Saakian, D. B. Saakian, Saakian, D. B.
Computer Science · Mathematics · Physics and Astronomy · #Data Management and Algorithms #Data Visualization and Analytics #Disordered Systems and Neural Networks (cond-mat.dis-nn) #FOS: Physical sciences #Probability and Statistical Research #Statistical Mechanics (cond-mat.stat-mech) #cond-mat.dis-nn #cond-mat.stat-mech
paper · pdf · doi:10.48550/arxiv.cond-mat/0004086
revtex,3 pages. The English is corrected
openalex publication_date 2000/04/06 · arxiv created 2000/04/17 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
It is possible to formulate 2d field theory on the ultrametric space with the free correlators identical to 2d correlators and the same potential. Such model should carry some features of original model for scale invariant theories. For the case of strings and 2d conformal models it is possible to derive exact results. It is possible to investigate not only bulk structure (phase transition points) of theory, but sometimes also correlators. Such ultrametric models could be naturally expressed via Random energy model and directed polymer on Cayley tree.