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

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.

31 pages, published version

References in corpus (3)

• Higher Order Terms of Improved Mean Field Approximation for IIB Matrix Model and Emergence of Four-dimensional Space-time
• Stability of 4-dimensional Space-time from IIB Matrix Model via Improved Mean Field Approximation
• Improved Perturbation Method and its Application to the IIB Matrix Model

Cited by in corpus (1)

• Field Equations of Massless Fields in the New Interpretation of the Matrix Model