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Mathematics / Millennium problem

Yang–Mills & the Mass Gap

Can four-dimensional quantum Yang–Mills theory be constructed with a positive mass gap?

The source trail 5

Findings, with context
DiscussionSep 8, 2026

A source discussing Yang–Mills

Kotlopou writes the excerpt below in a discussion related to Yang–Mills. Read the source for the surrounding context.

Just solving Yang-Mills because that's what the prize is attached to would be useless.
This excerpt is evidence of what the linked page says, not verification of its claims.
KotlopouOriginal source · Found Sep 20
Hacker News
DiscussionFound Sep 20, 2026

A source discussing Yang–Mills

qft.org contains the excerpt below in a discussion related to Yang–Mills. Read the source for the surrounding context.

The four-dimensional Yang–Mills problem contains two logically separate tasks.
This excerpt is evidence of what the linked page says, not verification of its claims. Publication date has not been established.
Source pageIndirect account · Found Sep 20
qft.org
DiscussionFound Sep 20, 2026

A source discussing Yang–Mills

zenodo.org contains the excerpt below in a discussion related to Yang–Mills. Read the source for the surrounding context.

Yet every approach to the continuum mass gap stalls at the same structural point
This excerpt is evidence of what the linked page says, not verification of its claims. Publication date has not been established.
Source pageIndirect account · Found Sep 20
zenodo.org
DiscussionFound Sep 19, 2026

A source discussing Yang–Mills

zenodo.org contains the excerpt below in a discussion related to Yang–Mills. Read the source for the surrounding context.

The campaign produced genuine mathematical results: a solved matrix model with topological spectral gap
This excerpt is evidence of what the linked page says, not verification of its claims. Publication date has not been established.
Source pageIndirect account · Found Sep 19
zenodo.org
PaperSep 14, 2026

A mass-gap preprint is revised; continuum requirements remain open

Shoshauna Gauvin’s preprint received September revisions describing regulated SU(3) results and conditional continuum work. Its abstract explicitly leaves key four-dimensional requirements unproved.

September 14 is the revision date. The original submission was March 6, 2025. This is not a resolution of the Millennium problem.
Shoshauna GauvinOriginal source · Found Sep 19
arXiv