Yang–Mills Existence and Mass Gap
CB-YANG-MILLS
canonical benchmark
canonical benchmarks
External: externally open
τ response: structurally constrained
Establish a mathematically rigorous quantum Yang–Mills theory on R^4 with positive mass gap.
Current τ response
See the paired Yang–Mills Existence and Mass Gap — Challenge Response on the Results lane for the program's current response status, registry evidence, verification route, and external-review boundary.
Current status: structurally constrained.
Challenge statement
Establish a mathematically rigorous quantum Yang–Mills theory on R^4 with positive mass gap.
Why this challenge is in the ledger
Foundational quantum-field-theory rigor test. Tests bridge from formal τ-construction to quantum-field semantics.
τ-facing burden
State whether τ provides nontrivial QFT-rigor route, mass-gap constraints, or only a re-statement.
Cross-domain links
- Physics P102: Yang-Mills theory — Mathematical Clay problem also appears in physics structural ledger as a foundational sector challenge.
First reviewer questions
- Can τ formulate quantized gauge fields?
- Does it produce nontrivial mass-gap results?
- How does it relate to lattice and constructive QFT approaches?
Source anchors
Source anchors are background references, not endorsements of Panta Rhei claims.