Lorentz-Covariant Quantization of Massive Non-Abelian Gauge Fields in The Hamiltonian Path-Integral Formalism

摘要

The massive non-Abelian gauge fields are quantized Lorentz-covariantly in theHamiltonian path-integral formalism. In the quantization, the Lorentzcondition, as a necessary constraint, is introduced initially and incorporatedinto the massive Yang-Mills Lagrangian by the Lagrange multiplier method so asto make each temporal component of a vector potential to have a canonicallyconjugate counterpart. The result of this quantization is confirmed by thequantization performed in the Lagrangian path-integral formalism by applyingthe Lagrange multiplier method which is shown to be equivalent to theFaddeev-Popov approach.