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arXiv · 0705.2339

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

Daniele Bettinelli·Ruggero Ferrari·Andrea Quadri
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Abstract

We propose a subtraction scheme for a massive Yang-Mills theory realized via a nonlinear representation of the gauge group (here SU(2)). It is based on the subtraction of the poles in D-4 of the amplitudes, in dimensional regularization, after a suitable normalization has been performed. Perturbation theory is in the number of loops and the procedure is stable under iterative subtraction of the poles. The unphysical Goldstone bosons, the Faddeev-Popov ghosts and the unphysical mode of the gauge field are expected to cancel out in the unitarity equation. The spontaneous symmetry breaking parameter is not a physical variable. We use the tools already tested in the nonlinear sigma model: hierarchy in the number of Goldstone boson legs and weak power-counting property (finite number of independent divergent amplitudes at each order). It is intriguing that the model is naturally based on the symmetry SU(2)_L local times SU(2)_R global. By construction the physical amplitudes depend on the mass and on the self-coupling constant of the gauge particle and moreover on the scale parameter of the radiative corrections. The Feynman rules are in the Landau gauge.

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Daniele Bettinelli, Ruggero Ferrari, Andrea Quadri. 2008-06-16. A Massive Yang-Mills Theory based on the Nonlinearly Realized Gauge Group. https://doi.org/10.1103/physrevd.77.045021

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