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

Masanori Hanada·Takashi Kanai·Hikaru Kawai·Fukuichiro Kubo
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Abstract

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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Masanori Hanada, Takashi Kanai, Hikaru Kawai, Fukuichiro Kubo. 2007-03-19. Phase structure of the large-N reduced gauge theory and generalized Weingarten model. https://doi.org/10.1143/ptp.115.1167

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