Lorentz-covariant quantization of massless non-Abelian gauge fields in theHamiltonian path-integral formalism

The Lorentz-covariant quantization performed in the Hamiltonian path-integr al formalism for massless non-Abelian gauge fields has been achieved. In th is quantization, the Lorentz condition, as a constraint, must be introduced initially and incorporated into the Yang-Mills Lagrangian by the Lagrange undetermined multiplier method. In this way, it is found that all Lorentz c omponents of a vector potential have their corresponding conjugate canonica l variables. This fact allows us to define Lorentz-invariant Poisson bracke ts and carry out the quantization in a Lorentz-covariant manner.