{"paper":{"title":"Linde problem in Yang-Mills theory compactified on $\\mathbb{R}^2 \\times \\mathbb{T}^2$","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-lat","hep-ph"],"primary_cat":"hep-th","authors_text":"Daniel Kroff (Sao Paulo, Eduardo S. Fraga (Rio de Janeiro Federal U.), IFT), Jorge Noronha (Sao Paulo U.)","submitted_at":"2016-10-04T19:19:10Z","abstract_excerpt":"We investigate the perturbative expansion in $SU(3)$ Yang-Mills theory compactified on $\\mathbb{R}^2\\times \\mathbb{T}^2$ where the compact space is a torus $\\mathbb{T}^2= S^1_{\\beta}\\times S^1_{L}$, with $S^1_{\\beta}$ being a thermal circle with period $\\beta=1/T$ ($T$ is the temperature) while $S^1_L$ is a circle with finite length $L=1/M$, where $M$ is an energy scale. A Linde-type analysis indicates that perturbative calculations for the pressure in this theory break down already at order $\\mathcal{O}(g^2)$ due to the presence of a non-perturbative scale $\\sim g \\sqrt{TM}$. We conjecture th"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1610.01130","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"}