|
gptkbp:instanceOf
|
gptkb:system_of_partial_differential_equations
|
|
gptkbp:category
|
gptkb:partial_differential_equations
gptkb:gauge_theory
mathematical physics
|
|
gptkbp:describes
|
behavior of non-abelian gauge fields
|
|
gptkbp:Euler-Lagrange_equations_of
|
gptkb:Yang-Mills_action
|
|
gptkbp:field
|
gptkb:theoretical_physics
differential geometry
mathematical physics
|
|
gptkbp:firstPublished
|
1954
|
|
gptkbp:form
|
F_{\mu\nu} = \partial_\mu A_\nu - \partial_\nu A_\mu + [A_\mu, A_\nu]
|
|
gptkbp:importantFor
|
study of quantum chromodynamics
study of instantons
study of monopoles
|
|
gptkbp:namedAfter
|
gptkb:Chen_Ning_Yang
gptkb:Robert_Mills
|
|
gptkbp:relatedTo
|
gptkb:gauge_theory
gptkb:Yang-Mills_theory
gptkb:Millennium_Prize_Problems
Yang-Mills existence and mass gap
|
|
gptkbp:solvedBy
|
self-dual solutions
anti-self-dual solutions
instanton solutions
monopole solutions
|
|
gptkbp:usedIn
|
gptkb:quantum_field_theory
standard model of particle physics
|
|
gptkbp:bfsParent
|
gptkb:Donaldson_theory
|
|
gptkbp:bfsLayer
|
7
|
|
https://www.w3.org/2000/01/rdf-schema#label
|
Yang-Mills equations
|