Geometrical symmetries of SU(2)-invariant Yang-Mills theory with nonstandard Lagrangian
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.
scientific article; zbMATH DE number 1240182