{"paper":{"title":"Comment on \"Nonlocal quartic interactions and universality classes in perovskite manganites\"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.stat-mech","authors_text":"H. W. Diehl","submitted_at":"2016-02-05T16:38:09Z","abstract_excerpt":"In a recent paper [Phys. Rev. E \\textbf{92}, 012123 (2015)] a modified $d$-dimensional $\\Phi^4$ model was investigated which differs from the standard one in that the $\\Phi^4$ term was replaced by a nonlocal one with a potential $u(\\bm{x}-\\bm{x}')$ that depends on a parameter $\\sigma$ and decays exponentially as $|\\bm{x}-\\bm{x}'|\\to\\infty$ on a scale $|m|^{-1}<\\infty$. The authors claim the upper critical dimension of this model to be $d_\\sigma=4+2\\sigma$. Performing a one-loop calculation they arrive at expansions in powers of $\\epsilon_\\sigma=d_\\sigma-d$ for critical exponents such as $\\eta$"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1602.02087","kind":"arxiv","version":2},"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"}