Geometrical symmetries of SU(2)-invariant Yang-Mills theory with nonstandard Lagrangian (Q1276023)

For the Yang-Mills field with Lagrangian \[ L = \dfrac{1}{2M^2} D_\rho^{ab}F^b_{\mu\nu}D^{ac}_\rho F^c_{\mu\nu} + \dfrac{g}{6M^2} f^{abc}F^a_{\mu\nu}F^b_{\nu\rho}F^c_{\rho\mu}, \] where summation is carried out over the repeated indices \(\mu\) and \(\rho\) from 0 to 3 and \(b\) and \(c\) from 1 to 3, \textit{A.~I.~Alekseev} and \textit{B.~A.~Arbuzov} [Theor. Math. Phys. 59, 372-378 (1984); translation from Teor. Mat. Fiz. 59, 80-90 (1984)] obtained the equations describing the infrared behaviour of the complete Green gluon functions. The author investigates the geometrical symmetries of these equations and obtains the maximal Lie symmetry group.