{"schema":"pubphys.bundle/1","record":{"author":{"account_ref":null,"orcid":null},"builds_on":[],"content_schema":"pubphys.content.revision/1","content_sha256":"df757420ec843a27faf5303e79a17323f5a3594d7b70053e3b306d843a40830b","created":"2026-10-03T07:18:08Z","files":[],"origin":{"assisted_by":[],"kind":"seed"},"parents":["04f218f38bbad6470edf3e2a8df57f1c11a6b3a9455a9b0733cea15aff82f7d3","5475cf5dc5b1a72283d26dc95dc6e00d7ea4e00096a7c6492e409a1816eeb011"],"salt":"be6aca689079d1f628d70e1c4796262944162b2f176e301fb0272d3bb33fc25f","schema":"pubphys.record/2","site":"pubphys.com","target":null,"type":"revision"},"content":{"answer_type":"yes-no","assisted_by":[],"external_id":"qft.confinement.adiabatic-continuity","kind":"well-posed","literature_status":"contested","n":"1","parents":[{"note":"","parent_revision":"04f218f38bbad6470edf3e2a8df57f1c11a6b3a9455a9b0733cea15aff82f7d3","relation":"special_case"}],"plain":"When one space direction is curled into a small circle, confinement can be computed by hand. Whether that calculation describes the same physics as ordinary uncurled space is unknown.","posed_since":"2008","precise":"Pure $\\operatorname{SU}(N)$ Yang-Mills on $R^{3} x S^{1}_L$ with a center-stabilizing double-trace deformation, or $N=1$ super-Yang-Mills with periodic fermions, confines semiclassically at small L via monopole-instantons and bions (Unsal and collaborators, 2007-2008). Determine whether the small-L regime is connected to the $R^4$ theory as $L \\to \\infty$ without a phase transition, so that the semiclassical mechanism is the 4D mechanism.","problem_ref":null,"references":"","settled_by":"Lattice simulation of the deformed theory over the full range of L times the strong scale, showing analytic L-dependence of the string tension and order parameters, or identifying a transition.","status_note":"Lattice studies of $N=1$ super-Yang-Mills with periodic fermions found no transition; for deformed pure Yang-Mills continuity remains unproven (2025).","title":"Does small-circle semiclassical confinement connect smoothly to four 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