Phase structure of the large-N reduced gauge theory and generalized Weingarten model

Details Phase structure of the large-N reduced gauge theory and generalized Weingarten model Phase structure of the large-N reduced gauge theory and generalized Weingarten model

2006-04-10

arxiv.org/abs/hep-th/0604065v3

Prog.Theor.Phys.115:1167-1177,2006

Physics

High Energy Physics

High Energy Physics - Theory

LaTeX-2e, 11 pages with 11 figures; typos corrected

Scientific paper

10.1143/PTP.115.1167

We study a generalization of Weingarten model reduced to a point, which becomes the large-N reduced U(N) gauge theory in a special limit. We find that the U(1)^d symmetry is broken one by one, and restored simultaneously as U(1)^d -> U(1)^{d-1} -> ... -> U(1) -> 1 -> U(1)^d as we change the coupling constants. In this model we can develop an efficient algorithm and we can see the phase structure of large-N reduced model clearly, and therefore this model would be useful for the study of the unitary model.

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