{"paper":{"title":"Consistent axial--like gauge fixing on hypertori","license":"","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Alex Kovner, Edwin Langmann, Manfred Salmhofer","submitted_at":"1993-08-25T02:00:00Z","abstract_excerpt":"We analyze the Gribov problem for $\\SU(N)$ and $\\U(N)$ Yang-Mills fields on $d$-dimensional tori, $d=2,3,\\ldots$. We give an improved version of the axial gauge condition and find an infinite, discrete group $\\cG'=\\Z^{dr}\\rtimes({\\Z_2}^{N-1}\\rtimes\\Z_2)$, where $r=N-1$ for $\\GG=\\SU(N)$ and $r=N$ for $\\GG=\\U(N)$, containing all gauge transformations compatible with that condition. This residual gauge group $\\cG'$ provides (generically) all Gribov copies and allows to explicitly determine the space of gauge orbits which is an orbifold. Our results apply to Yang-Mills gauge theories either in the"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/9308115","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"}