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Gluon Field Strength Tensor

Describes the interaction of gluons and currents in QCD.
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The statement of the theorem

Define the gluon field strength tensor FμνaF^a_{\mu\nu} in the adjoint representation of SU(3)cSU(3)_c. It is given by: Fμνa=μAνaνAμa+gfabcAμbAνcF^a_{\mu\nu} = \partial_{\mu} A^a_{\nu} - \partial_{\nu} A^a_{\mu} + g f^{abc} A^b_{\mu} A^c_{\nu} where AμaA^a_{\mu} is the gluon field, gg is the strong coupling constant, and fabcf^{abc} are the structure constants of the SU(3)SU(3) Lie algebra, satisfying the Jacobi identity.
Source: Wikipedia