{"paper":{"title":"Decimation in more then one dimension","license":"","headline":"","cross_cats":[],"primary_cat":"cond-mat","authors_text":"B. Rosenstein, V. Kushnir","submitted_at":"1995-05-29T17:39:01Z","abstract_excerpt":"We develop a formalism for performing real space renormalization group transformations of the \"decimation type\" using perturbation theory. The type of transformations beyond $d=1$ is nontrivial even for free theories. We check the formalism on solvable case of $O(N)$ symmetric Heisenberg chain.\n The transformation is particularly useful to study asymptotically free theories. Results for one class of such models, the d=2 O(N) symmetric $\\sigma$ models ($N\\ge 3$) for decimation with scale factor $\\eta=2$ (when quarter of the points is left) are given as an example."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"cond-mat/9505144","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"}