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Quantum energy-mass spectrum of Yang-Mills bosons

Alexander Dynin

arXiv (Cornell University), 2011

Abstract

A non-perturbative quantization of the Yang-Mills energy-mass functional with a compact semi-simple gauge group entails an infinite discrete energy-mass spectrum of gauge bosons. The bosonic spectrum is bounded from below, and has a positive mass gap due to the quartic self-interaction term of pure Yang-Mills Lagrangian (with no Higgs term involved). This quantization is based on infinite-dimensional analysis in Kree nuclear triple of sesqui-holomorphic functionals of initial data for the the non-linear classical Yang-Mills equations in the temporal gauge.

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