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2010•Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fieldsOpen access

Patterns of dynamical gauge symmetry breaking

Ning Chen, Thomas A. Ryttov, Robert Shrock

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Abstract

We construct and analyze theories with a gauge symmetry in the ultraviolet of the form $G\ensuremath{\bigotimes}{G}_{b}$, in which the vectorial, asymptotically free ${G}_{b}$ gauge interaction becomes strongly coupled at a scale where the $G$ interaction is weakly coupled and produces bilinear fermion condensates that dynamically break the $G$ symmetry. Comparisons are given between Higgs and dynamical symmetry-breaking mechanisms for various models.

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We construct and analyze theories with a gauge symmetry in the ultraviolet of the form $G\ensuremath{\bigotimes}{G}_{b}$, in which the vectorial, asymptotically free ${G}_{b}$ gauge interaction becomes strongly coupled at a scale where the $G$ interaction is weakly coupled and produces bilinear fermion condensates that dynamically break the $G$ symmetry. Comparisons are given between Higgs and dynamical symmetry-breaking mechanisms for various models.

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Available abstract

We construct and analyze theories with a gauge symmetry in the ultraviolet of the form $G\ensuremath{\bigotimes}{G}_{b}$, in which the vectorial, asymptotically free ${G}_{b}$ gauge interaction becomes strongly coupled at a scale where the $G$ interaction is weakly coupled and produces bilinear fermion condensates that dynamically break the $G$ symmetry. Comparisons are given between Higgs and dynamical symmetry-breaking mechanisms for various models.

Key concepts: Physics, Spontaneous symmetry breaking, Symmetry breaking, Higgs boson, Explicit symmetry breaking, Gauge symmetry, Symmetry (geometry), Theoretical physics

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