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Dynamical Generation of Non-Abelian Gauge Group via the Improved Perturbation Theory

T. Aoyama·T. Kuroki·Y. Shibusa
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Abstract

It was suggested that the massive Yang-Mills-Chern-Simons matrix model has three phases and that in one of them a non-Abelian gauge symmetry is dynamically generated. The analysis was at the one-loop level around a classical solution of fuzzy sphere type. We obtain evidences that three phases are indeed realized as nonperturbative vacua by using the improved perturbation theory. It also gives a good example that even if we start from a trivial vacuum, the improved perturbation theory around it enables us to observe nontrivial vacua.

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T. Aoyama, T. Kuroki, Y. Shibusa. 2006-11-24. Dynamical Generation of Non-Abelian Gauge Group via the Improved Perturbation Theory. https://doi.org/10.1103/physrevd.74.106004

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