What does this research mean for the field?

Pure SU(N) Yang-Mills quantum field theory can be rigorously constructed on four-dimensional Euclidean space to satisfy the Osterwalder-Schrader axioms and possesses a strictly positive mass gap. Novelty: ClaimNovelty.NOVEL_FINDING. Consensus alignment: ConsensusAlignment.SUPPORTS_CONSENSUS.

What question did this study set out to answer?

This work aims to rigorously establish the existence of a positive mass gap in pure SU(N) Yang-Mills quantum field theory.

June 1, 2026Open Access

Yang-Mills Mass Gap: A Rigorous Mathematical Construction

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This work aims to rigorously establish the existence of a positive mass gap in pure SU(N) Yang-Mills quantum field theory.
Constructed Yang-Mills theory on R^4 using Osterwalder–Schrader axioms (OS1–OS5).
Utilized Wilson's plaquette action for lattice regularization and verified construction stages via a directed acyclic graph.
Validated mass gap through lattice QCD determinations of glueball masses.
Established a strictly positive mass gap Δ ≈ 1.73 ± 0.15 GeV for SU(3).
Verified that pure SU(3) Yang-Mills theory exhibits no phase transition for β ∈ (0,∞).
Achieved δ_a^phys ≥ 50 MeV uniformly in a.

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Implication

Randomized trial constructs a mass gap in pure SU(N) Yang-Mills theory, indicating strong adherence to axiomatic frameworks.

Cite This Study

Limbad et al. (2026) studied this question.

synapsesocial.com/papers/6a1d22db02fbce91306387fd https://doi.org/10.5281/zenodo.18193347

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Yang-Mills Mass Gap: A Rigorous Mathematical Construction

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Discussion

Implication

Cite This Study

Yang-Mills Mass Gap: A Rigorous Mathematical Construction

Key Points

Discussion

Implication

Cite This Study

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