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We propose a subtraction scheme for a massive Yang-Mills theory realized viaa nonlinear representation of the gauge group (here SU(2)). It is based on thesubtraction of the poles in D-4 of the amplitudes, in dimensionalregularization, after a suitable normalization has been performed. Perturbationtheory is in the number of loops and the procedure is stable under iterativesubtraction of the poles. The unphysical Goldstone bosons, the Faddeev-Popovghosts and the unphysical mode of the gauge field are expected to cancel out inthe unitarity equation. The spontaneous symmetry breaking parameter is not aphysical variable. We use the tools already tested in the nonlinear sigmamodel: hierarchy in the number of Goldstone boson legs and weak power-countingproperty (finite number of independent divergent amplitudes at each order). Itis intriguing that the model is naturally based on the symmetry SU(2)_L localtimes SU(2)_R global. By construction the physical amplitudes depend on themass and on the self-coupling constant of the gauge particle and moreover onthe scale parameter of the radiative corrections. The Feynman rules are in theLandau gauge.

A Massive Yang-Mills Theory based on the Nonlinearly Realized Gauge Group