https://yangmills.qft.org/research/Substantive editorial events with source versions, corrections, and assessment provenance. Dates are editorial publication dates, never build time. Midnight UTC represents explicitly date-only events.enSat, 24 Oct 2026 00:00:00 GMThttps://yangmills.qft.org/research/updates/#event-balaban-conditional-scope-followup-20261024https://yangmills.qft.org/research/updates/#event-balaban-conditional-scope-followup-20261024Recovered Bałaban’s exact conditional theorem and supporting model setup. The readable published scan explicitly assumes all effective couplings stay in (0,gamma], gamma sufficiently small. It describes the argument proposed to remove that assumption as not yet published at the time. The record now classifies the result as a conditional theorem, without asserting its later publication history or a physical mass gap. Previous statement: The publisher abstract reports that bounds for the R operation complete the paper’s stated four-dimensional pure-gauge ultraviolet-stability result. Theorem 1 was not accessible in this review.. Printed page 355/PDF page 1: Theorem 1 and following qualification: https://scispace.com/pdf/large-field-renormalization-ii-localization-exponentiation-h8b7ih93xo.pdf; source date 1989 (year). Printed pages 355-356: inequality (0.1) and stated independence of constants: https://scispace.com/pdf/large-field-renormalization-ii-localization-exponentiation-h8b7ih93xo.pdf; source date 1989 (year). Printed page 392/PDF page 38: concluding representation (1.104) discussion and references: https://scispace.com/pdf/large-field-renormalization-ii-localization-exponentiation-h8b7ih93xo.pdf; source date 1989 (year). Introduction, printed pp251-252: torus, lattice scales, compact semisimple matrix group and Wilson action (0.2): https://scispace.com/pdf/renormalization-group-approach-to-lattice-gauge-field-3ygai0vxt1.pdf; source date 1987 (year). Printed p259: Theorems 1 and 2; p260 opening qualification: https://scispace.com/pdf/renormalization-group-approach-to-lattice-gauge-field-3ygai0vxt1.pdf; source date 1987 (year). Introduction pp243-245: Wilson initial density, E normalization, RT iteration to unit lattice: https://scispace.com/pdf/convergent-renormalization-expansions-for-lattice-gauge-29jyexd38e.pdf; source date 1988 (year). Section 2 pp254-264, especially density (2.18), effective action (2.23), localized terms (2.25)-(2.42), Theorems 1-2 and Corollary 3 (2.50): https://scispace.com/pdf/convergent-renormalization-expansions-for-lattice-gauge-29jyexd38e.pdf; source date 1988 (year).scope-correctionSat, 24 Oct 2026 00:00:00 GMThttps://yangmills.qft.org/research/updates/#event-bootstrap-loop-constraints-provenance-20261024https://yangmills.qft.org/research/updates/#event-bootstrap-loop-constraints-provenance-20261024Separated provenance and claim type for Multiple-trace loop equations and positivity constraints. Replace the inherited undifferentiated “source scope checked” badge with the actual recorded read depth and explicit limitations. Midnight UTC is a date-only editorial convention, not a source publication time. Previous statement: Source scope checked, 22 October 2026 (inherited undifferentiated label).. Abstract: https://arxiv.org/abs/2502.14421v2; source date 2025-12-05 (day). Section 2 (setup and strategy): https://arxiv.org/abs/2502.14421v2; source date 2025-12-05 (day). Section 3.2.2 (twist reflection positivity): https://arxiv.org/abs/2502.14421v2; source date 2025-12-05 (day). Section 4 (loop equations): https://arxiv.org/abs/2502.14421v2; source date 2025-12-05 (day).scope-correctionSat, 24 Oct 2026 00:00:00 GMThttps://yangmills.qft.org/research/updates/#event-bootstrap-numerical-bounds-provenance-20261024https://yangmills.qft.org/research/updates/#event-bootstrap-numerical-bounds-provenance-20261024Separated provenance and claim type for Finite bootstrap computations constrain plaquette values. Replace the inherited undifferentiated “source scope checked” badge with the actual recorded read depth and explicit limitations. Midnight UTC is a date-only editorial convention, not a source publication time. Previous statement: Source scope checked, 22 October 2026 (inherited undifferentiated label).. Abstract: https://arxiv.org/abs/2502.14421v2; source date 2025-12-05 (day). Section 2 (setup and strategy): https://arxiv.org/abs/2502.14421v2; source date 2025-12-05 (day). Section 3.2.2 (twist reflection positivity): https://arxiv.org/abs/2502.14421v2; source date 2025-12-05 (day). Section 4 (loop equations): https://arxiv.org/abs/2502.14421v2; source date 2025-12-05 (day).scope-correctionSat, 24 Oct 2026 00:00:00 GMThttps://yangmills.qft.org/research/updates/#event-center-divergent-potential-provenance-20261024https://yangmills.qft.org/research/updates/#event-center-divergent-potential-provenance-20261024Separated provenance and claim type for Unbroken slab center symmetry implies a divergent potential. Replace the inherited undifferentiated “source scope checked” badge with the actual recorded read depth and explicit limitations. Midnight UTC is a date-only editorial convention, not a source publication time. Previous statement: Source scope checked, 22 October 2026 (inherited undifferentiated label).. Section 2.1; Definition 2.1; Theorem 2.2: https://arxiv.org/abs/2006.16229v5; source date 2021-03-26 (day).scope-correctionSat, 24 Oct 2026 00:00:00 GMThttps://yangmills.qft.org/research/updates/#event-continuum-glueball-spectrum-provenance-20261024https://yangmills.qft.org/research/updates/#event-continuum-glueball-spectrum-provenance-20261024Separated provenance and claim type for Continuum-extrapolated pure SU(N) glueball spectra. Replace the inherited undifferentiated “source scope checked” badge with the actual recorded read depth and explicit limitations. Midnight UTC is a date-only editorial convention, not a source publication time. Previous statement: Source scope checked, 22 October 2026 (inherited undifferentiated label).. Abstract: https://arxiv.org/abs/2106.00364v3; source date 2021-12-10 (day). Version history and publication metadata: https://arxiv.org/abs/2106.00364v3; source date 2021-12-10 (day).scope-correctionSat, 24 Oct 2026 00:00:00 GMThttps://yangmills.qft.org/research/updates/#event-deformed-small-circle-provenance-20261024https://yangmills.qft.org/research/updates/#event-deformed-small-circle-provenance-20261024Separated provenance and claim type for Confinement mechanisms in center-stabilized small-circle Yang–Mills. Replace the inherited undifferentiated “source scope checked” badge with the actual recorded read depth and explicit limitations. Midnight UTC is a date-only editorial convention, not a source publication time. Previous statement: Source scope checked, 22 October 2026 (inherited undifferentiated label).. Abstract: https://arxiv.org/abs/0803.0344v2; source date 2008-03-22 (day). Version history and journal reference: https://arxiv.org/abs/0803.0344v2; source date 2008-03-22 (day).scope-correctionSat, 24 Oct 2026 00:00:00 GMThttps://yangmills.qft.org/research/updates/#event-direct-indirect-equations-provenance-20261024https://yangmills.qft.org/research/updates/#event-direct-indirect-equations-provenance-20261024Separated provenance and claim type for Elimination beyond a loop cutoff supplies indirect relations. Replace the inherited undifferentiated “source scope checked” badge with the actual recorded read depth and explicit limitations. Midnight UTC is a date-only editorial convention, not a source publication time. Previous statement: Source scope checked, 22 October 2026 (inherited undifferentiated label).. Abstract: https://arxiv.org/abs/2601.04316v2; source date 2026-01-21 (day). Version history: https://arxiv.org/abs/2601.04316v2; source date 2026-01-21 (day).scope-correctionSat, 24 Oct 2026 00:00:00 GMThttps://yangmills.qft.org/research/updates/#event-dynamical-area-law-provenance-20261024https://yangmills.qft.org/research/updates/#event-dynamical-area-law-provenance-20261024Separated provenance and claim type for Volume-uniform lattice area law at strong coupling. Replace the inherited undifferentiated “source scope checked” badge with the actual recorded read depth and explicit limitations. Midnight UTC is a date-only editorial convention, not a source publication time. Previous statement: Source scope checked, 22 October 2026 (inherited undifferentiated label).. Section 1, especially Theorem 1.6 and definitions preceding it: https://arxiv.org/abs/2509.04688v2; source date 2025-09-28 (day). Section 2, slab criterion: https://arxiv.org/abs/2509.04688v2; source date 2025-09-28 (day). Section 3, Proposition 3.2 and semigroup estimates: https://arxiv.org/abs/2509.04688v2; source date 2025-09-28 (day).scope-correctionSat, 24 Oct 2026 00:00:00 GMThttps://yangmills.qft.org/research/updates/#event-source-history-cao-nissim-sheffield-2025-dynamical-20261024https://yangmills.qft.org/research/updates/#event-source-history-cao-nissim-sheffield-2025-dynamical-20261024Recorded the v1/v2 source lineage without transferring a technical assessment to the earlier version. ArXiv reports minor revisions. Metadata and v2 selected sections were checked; a complete technical diff was not performed. Previous statement: The inherited record retained only v2, without a machine-readable prior-version link.. Version history (metadata only): https://arxiv.org/abs/2509.04688v1; source date 2025-09-04 (day). Version history and v2 selected sections: https://arxiv.org/abs/2509.04688v2; source date 2025-09-28 (day).source-revisionSat, 24 Oct 2026 00:00:00 GMThttps://yangmills.qft.org/research/updates/#event-stochastic-counterterm-uniqueness-provenance-20261024https://yangmills.qft.org/research/updates/#event-stochastic-counterterm-uniqueness-provenance-20261024Separated provenance and claim type for Gauge covariance selects the stochastic mass counterterm. Replace the inherited undifferentiated “source scope checked” badge with the actual recorded read depth and explicit limitations. Midnight UTC is a date-only editorial convention, not a source publication time. Previous statement: Source scope checked, 22 October 2026 (inherited undifferentiated label).. Abstract: https://arxiv.org/abs/2503.03060v2; source date 2026-01-21 (day). Version history and journal reference: https://arxiv.org/abs/2503.03060v2; source date 2026-01-21 (day).scope-correctionSat, 24 Oct 2026 00:00:00 GMThttps://yangmills.qft.org/research/updates/#event-twist-reflection-two-dimensions-provenance-20261024https://yangmills.qft.org/research/updates/#event-twist-reflection-two-dimensions-provenance-20261024Separated provenance and claim type for The additional twist-reflection positivity argument is two-dimensional. Replace the inherited undifferentiated “source scope checked” badge with the actual recorded read depth and explicit limitations. Midnight UTC is a date-only editorial convention, not a source publication time. Previous statement: Source scope checked, 22 October 2026 (inherited undifferentiated label).. Section 3.2.2 (two-dimensional twist reflection positivity): https://arxiv.org/abs/2502.14421v2; source date 2025-12-05 (day).scope-correctionSat, 24 Oct 2026 00:00:00 GMThttps://yangmills.qft.org/research/updates/#event-twisted-center-vortices-provenance-20261024https://yangmills.qft.org/research/updates/#event-twisted-center-vortices-provenance-20261024Separated provenance and claim type for Center-vortex semiclassics with non-minimal twist. Replace the inherited undifferentiated “source scope checked” badge with the actual recorded read depth and explicit limitations. Midnight UTC is a date-only editorial convention, not a source publication time. Previous statement: Source scope checked, 22 October 2026 (inherited undifferentiated label).. Abstract: https://arxiv.org/abs/2505.07467v2; source date 2025-08-05 (day). Version history: https://arxiv.org/abs/2505.07467v2; source date 2025-08-05 (day). Journal reference: https://arxiv.org/abs/2505.07467v2; source date 2025-08-05 (day).scope-correctionSat, 24 Oct 2026 00:00:00 GMThttps://yangmills.qft.org/research/updates/#event-uniform-decay-area-law-provenance-20261024https://yangmills.qft.org/research/updates/#event-uniform-decay-area-law-provenance-20261024Separated provenance and claim type for Uniform boundary-condition decay implies an area law. Replace the inherited undifferentiated “source scope checked” badge with the actual recorded read depth and explicit limitations. Midnight UTC is a date-only editorial convention, not a source publication time. Previous statement: Source scope checked, 22 October 2026 (inherited undifferentiated label).. Definition 2.3; Theorem 2.4: https://arxiv.org/abs/2006.16229v5; source date 2021-03-26 (day).scope-correctionSat, 24 Oct 2026 00:00:00 GMThttps://yangmills.qft.org/research/updates/#event-uv-stability-provenance-20261024https://yangmills.qft.org/research/updates/#event-uv-stability-provenance-20261024Separated provenance and claim type for Ultraviolet stability in the stated four-dimensional lattice construction. Replace the inherited undifferentiated “source scope checked” badge with the actual recorded read depth and explicit limitations. Midnight UTC is a date-only editorial convention, not a source publication time. Previous statement: Source scope checked, 22 October 2026 (inherited undifferentiated label).. Publisher abstract (refers to Theorem 1): https://link.springer.com/article/10.1007/BF01238433; source date 1989 (year). Bibliographic record: https://link.springer.com/article/10.1007/BF01238433; source date 1989 (year).scope-correctionSat, 24 Oct 2026 00:00:00 GMThttps://yangmills.qft.org/research/updates/#event-inherited-confinement-criterionhttps://yangmills.qft.org/research/results/confinement-criterion/Inherited dossier: A precise criterion connecting center symmetry and confinement. Original editorial snapshot, retained during migration. This is not the date the source result first appeared. Section 2.1; Definition 2.1; Theorem 2.2: https://arxiv.org/abs/2006.16229v5; source date 2021-03-26 (day).new-resultThu, 22 Oct 2026 00:00:00 GMThttps://yangmills.qft.org/research/updates/#event-inherited-glueball-spectrumhttps://yangmills.qft.org/research/results/glueball-spectrum/Inherited dossier: Continuum-extrapolated glueball spectra. Original editorial snapshot, retained during migration. This is not the date the source result first appeared. Abstract: https://arxiv.org/abs/2106.00364v3; source date 2021-12-10 (day). Version history and publication metadata: https://arxiv.org/abs/2106.00364v3; source date 2021-12-10 (day).new-resultThu, 22 Oct 2026 00:00:00 GMThttps://yangmills.qft.org/research/updates/#event-inherited-lattice-area-lawhttps://yangmills.qft.org/research/results/lattice-area-law/Inherited dossier: A dynamical route to the lattice area law. Original editorial snapshot, retained during migration. This is not the date the source result first appeared. Section 1, especially Theorem 1.6 and definitions preceding it: https://arxiv.org/abs/2509.04688v2; source date 2025-09-28 (day). Section 2, slab criterion: https://arxiv.org/abs/2509.04688v2; source date 2025-09-28 (day). Section 3, Proposition 3.2 and semigroup estimates: https://arxiv.org/abs/2509.04688v2; source date 2025-09-28 (day).new-resultThu, 22 Oct 2026 00:00:00 GMThttps://yangmills.qft.org/research/updates/#event-inherited-loop-equationshttps://yangmills.qft.org/research/results/loop-equations/Inherited dossier: Direct and indirect loop equations. Original editorial snapshot, retained during migration. This is not the date the source result first appeared. Abstract: https://arxiv.org/abs/2601.04316v2; source date 2026-01-21 (day). Version history: https://arxiv.org/abs/2601.04316v2; source date 2026-01-21 (day).new-resultThu, 22 Oct 2026 00:00:00 GMThttps://yangmills.qft.org/research/updates/#event-inherited-positivity-bootstraphttps://yangmills.qft.org/research/results/positivity-bootstrap/Inherited dossier: Positivity bounds for SU(3) lattice Yang–Mills. Original editorial snapshot, retained during migration. This is not the date the source result first appeared. Abstract: https://arxiv.org/abs/2502.14421v2; source date 2025-12-05 (day). Section 2 (setup and strategy): https://arxiv.org/abs/2502.14421v2; source date 2025-12-05 (day). Section 3.2.2 (twist reflection positivity): https://arxiv.org/abs/2502.14421v2; source date 2025-12-05 (day). Section 4 (loop equations): https://arxiv.org/abs/2502.14421v2; source date 2025-12-05 (day).new-resultThu, 22 Oct 2026 00:00:00 GMThttps://yangmills.qft.org/research/updates/#event-inherited-semiclassical-confinementhttps://yangmills.qft.org/research/results/semiclassical-confinement/Inherited dossier: Controlled confinement on compactified spaces. Original editorial snapshot, retained during migration. This is not the date the source result first appeared. Abstract: https://arxiv.org/abs/0803.0344v2; source date 2008-03-22 (day). Version history and journal reference: https://arxiv.org/abs/0803.0344v2; source date 2008-03-22 (day).new-resultThu, 22 Oct 2026 00:00:00 GMThttps://yangmills.qft.org/research/updates/#event-inherited-stochastic-renormalizationhttps://yangmills.qft.org/research/results/stochastic-renormalization/Inherited dossier: Uniqueness of gauge-covariant stochastic renormalization. Original editorial snapshot, retained during migration. This is not the date the source result first appeared. Abstract: https://arxiv.org/abs/2503.03060v2; source date 2026-01-21 (day). Version history and journal reference: https://arxiv.org/abs/2503.03060v2; source date 2026-01-21 (day).new-resultThu, 22 Oct 2026 00:00:00 GMThttps://yangmills.qft.org/research/updates/#event-inherited-ultraviolet-stabilityhttps://yangmills.qft.org/research/results/ultraviolet-stability/Inherited dossier: Ultraviolet stability through constructive renormalization. Original editorial snapshot, retained during migration. This is not the date the source result first appeared. Publisher abstract (refers to Theorem 1): https://link.springer.com/article/10.1007/BF01238433; source date 1989 (year). Bibliographic record: https://link.springer.com/article/10.1007/BF01238433; source date 1989 (year).new-resultThu, 22 Oct 2026 00:00:00 GMT