Yang–Mills Existence and Mass Gap

GPTKB entity

Predicate	Object
gptkbp:instanceOf	gptkb: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
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_Mathematics_Institute_Millennium_Prize_Problems gptkb:Clay_Millennium_Prize_Problem gptkb:Clay_Millennium_Prize gptkb:Clay_Mathematics_Institute_Millennium_Prize
gptkbp:bfsLayer	7
https://www.w3.org/2000/01/rdf-schema#label	Yang–Mills Existence and Mass Gap