Metamorphosis versus Decoupling in Nonabelian Gauge Theories at Very High Energies

Details Metamorphosis versus Decoupling in Nonabelian Gauge Theories at Very High Energies Metamorphosis versus Decoupling in Nonabelian Gauge Theories at Very High Energies

2011-06-27

arxiv.org/abs/1106.5537v3

Physics

High Energy Physics

High Energy Physics - Phenomenology

Article, 31 pages. Typos removed and Ref. 7, 32 added. Revised argument in sections 4,9,10, results unchanged

Scientific paper

In the present paper we study the limit of zero mass in nonabelian gauge theories both with Higgs mechanism and in the nonlinear realization of the gauge group (Stueckelberg mass). We argue that in the first case the longitudinal modes undergo a metamorphosis process to the Goldstone scalar modes, while in the second we guess a decoupling process associated to a phase transformation. The two scenarios yield strikingly different behaviors at high energy, mainly ascribed to the presence of a massless Higgs doublet among the physical modes in the case of Higgs mechanism (i.e. not only the Higgs boson). The aim of this work is to show that the problem of unitarity at high energy in nonabelian gauge theory with no Higgs boson can open new perspectives in quantum field theory.

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