Phase Structure of the Large-N Reduced Gauge Theory and the Generalized Weingarten Model | Zendy

Masanori Hanada | Zendy; Tsuneto Kanai | Zendy; H. Kawai | Zendy; F. Kubo | Zendy

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Phase Structure of the Large-N Reduced Gauge Theory and the Generalized Weingarten Model

Author(s) -

Masanori Hanada,

Tsuneto Kanai,

H. Kawai,

F. Kubo

Publication year - 2006

Publication title -

progress of theoretical physics

Language(s) - English

Resource type - Journals

eISSN - 1347-4081

pISSN - 0033-068X

DOI - 10.1143/ptp.115.1167

Subject(s) - physics , generalization , homogeneous space , mathematical physics , gauge (firearms) , coupling constant , unitary state , gauge theory , limit (mathematics) , u 1 , coupling (piping) , phase (matter) , theoretical physics , quantum mechanics , mathematical analysis , geometry , mathematics , mechanical engineering , archaeology , political science , law , history , engineering

We study a generalization of Weingarten model reduced to a point, whichbecomes the large-N reduced U(N) gauge theory in a special limit. We find thatthe 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 couplingconstants. In this model we can develop an efficient algorithm and we can seethe phase structure of large-N reduced model clearly, and therefore this modelwould be useful for the study of the unitary model.Comment: LaTeX-2e, 11 pages with 11 figures; typos correcte

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