Yang–Mills Existence and Mass Gap
GPTKB entity
Statements (22)
Predicate | Object |
---|---|
gptkbp:instanceOf |
Hilbert problem
|
gptkbp:announced |
2000
|
gptkbp:award |
1 million US dollars
|
gptkbp:concerns |
gptkb:Yang–Mills_theory
gptkb:quantum_field_theory mass gap |
gptkbp:describes |
Prove that for any compact simple gauge group G, a non-trivial quantum Yang–Mills theory exists on R^4 and has a mass gap Δ > 0.
|
gptkbp:field |
gptkb:mathematics
gptkb:theoretical_physics |
https://www.w3.org/2000/01/rdf-schema#label |
Yang–Mills Existence and Mass Gap
|
gptkbp:offeredBy |
gptkb:Clay_Mathematics_Institute
|
gptkbp:relatedPrize |
gptkb:Millennium_Prize_Problems
|
gptkbp:relatedTo |
gptkb:gauge_theory
gptkb:quantum_chromodynamics standard model confinement |
gptkbp:seeAlso |
gptkb:Navier–Stokes_existence_and_smoothness
gptkb:Riemann_hypothesis gptkb:P_vs_NP_problem |
gptkbp:status |
unsolved
|
gptkbp:bfsParent |
gptkb:Clay_Millennium_Prize
|
gptkbp:bfsLayer |
5
|