{"paper":{"title":"Accessing Large Global Charge via the $\\epsilon$-Expansion","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Masataka Watanabe","submitted_at":"2019-09-03T17:59:50Z","abstract_excerpt":"We compute the lowest operator dimension $\\Delta(J;D)$ at large global charge $J$ in the $O(2)$ Wilson-Fisher model in $D=4-\\epsilon$ dimensions, to leading order in both $1/J$ and $\\epsilon$. The final result for $\\Delta(J;D)$ in the (resummed) $\\epsilon$-expansion, valid when $J\\gg 1/\\epsilon \\gg 1$, turns out to be \\begin{equation*} \\Delta(J;D)=\\left[\\frac{2(D-1)}{3(D-2)}\\left(\\frac{9(D-2)\\pi}{5D}\\right)^{\\frac{D}{2(D-1)}}\\left[\\frac{5\\Gamma\\left(\\frac{D}{2}\\right)}{24\\pi^2}\\right]^{\\frac{1}{D-1}} \\epsilon^{\\frac{D-2}{2(D-1)}}\\right]\\times J^{\\frac{D}{D-1}}+O\\left(J^{\\frac{D-2}{D-1}}\\right)"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1909.01337","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/1909.01337/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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"}