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

TL;DR

This paper demonstrates that improved perturbation theory can nonperturbatively reveal the dynamical generation of non-Abelian gauge symmetry in a matrix model, even from trivial vacua, confirming three distinct phases.

Contribution

It provides evidence that improved perturbation theory can identify nonperturbative vacua and phase structure in gauge matrix models beyond one-loop analysis.

Findings

Three phases are realized as nonperturbative vacua.

Improved perturbation theory detects nontrivial vacua from trivial starting points.

Non-Abelian gauge symmetry is dynamically generated in the model.

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.