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Phase structure of twisted Eguchi-Kawai model

Presenter: Tomomi Ishikawa — RIKEN BNL Research Center

Tomomi Ishikawa, Tatsuo Azeyanagi, Masanori Hanada and Tomoyoshi Hirata

We investigate phase structure of 4d twisted Eguchi-Kawai model by numerical simulation. This model is useful for studying the large-N gauge theory and also presents a nonperturbative definition of the gauge theory on noncommutative spaces (NCYM). Recently it was found that the ZN4 symmetry, which plays crucial role in the formulation of the model, is spontaneously broken in the intermediate coupling region. We check this phenomena elaborately and show whether this model has the continuum limit as the large-N gauge theory and the NCYM.