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

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

2006-08-04

arxiv.org/abs/hep-th/0608031v2

Phys.Rev.D74:106004,2006

Physics

High Energy Physics

High Energy Physics - Theory

31 pages, published version

Scientific paper

10.1103/PhysRevD.74.106004

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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