Dimensional transmutation in the longitudinal sector of equivariantly gauge-fixed Yang-Mills theory
Abstract
We study the pure-gauge sector of an SU(N) gauge theory, equivariantly gauge fixed to SU(N-1)× U(1), which is an asymptotically free non-linear sigma model in four dimensions. We show that dimensional transmutation takes place in the large-N limit, and elaborate on the relevance of this result for a speculative scenario in which the strong longitudinal dynamics gives rise to a novel Higgs-Coulomb phase.
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