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

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dc.creatorBettinelli, Daniele
dc.creatorFerrari, Ruggero
dc.creatorQuadri, Andrea
dc.date2007-05-16
dc.date2008-06-16
dc.date.accessioned2026-07-07T09:44:22Z
dc.date.available2026-07-07T09:44:22Z
dc.descriptionWe 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.
dc.description44 pages, 1 figure, minor changes, final version accepted by Phys. Rev. D
dc.identifierhttps://arxiv.org/abs/0705.2339
dc.identifierhttp://arxiv.org/abs/0705.2339
dc.identifierPhys.Rev.D77:045021,2008
dc.identifierdoi:10.1103/PhysRevD.77.045021
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/162849
dc.subjectHigh Energy Physics - Theory
dc.subjectHigh Energy Physics - Phenomenology
dc.titleA Massive Yang-Mills Theory based on the Nonlinearly Realized Gauge Group
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