{"paper":{"title":"NC plane waves, Casimir effect and flux tube potential with L\\\"uscher terms","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-ph"],"primary_cat":"quant-ph","authors_text":"Peter Pre\\v{s}najder, Samuel Kov\\'a\\v{c}ik","submitted_at":"2016-02-24T11:47:04Z","abstract_excerpt":"We analyze plane waves in a model of quantum mechanics in a three dimensional noncommutative (NC) space $R^3_{\\lambda}$. Signature features of NC models are impossibility of probing distances smaller than a certain length scale {\\lambda} and a presence of natural energetic cut-off at energy scale of order $1/{\\lambda}^2$ (in convenient units). We analyze consequences of such restrictions on a 1 dimensional Casimir effect. The result shows resemblance to flux tube potential for quark-antiquark pairs and to effective bosonic string theories with L\\\"uscher terms. Such behavior might effect the ra"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1603.00292","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"}