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Explore the instability of fuzzy spaces in noncommutative Yang-Mills theories through matrix models. Discover how these spaces are largely unstable in the double scaling limit based on research by T. Azeyanagi, M. Hanada, and T. Hirata. This study provides valuable insights into the limitations of bosonic NC Yang-Mills theories.
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Comments on Stability of Noncommutative Spaces Tatsuo Azeyanagi (Kyoto University) Based on work with M.Hanada(Weizmann) and T.Hirata(Kyoto) Bosonic NC Yang-Mills Theories Might not be Good Theories Van Raamsdonk Nonperturbatively Formulate NCYM by Matrix Models (Construct Fuzzy Spaces + Define the Double Scaling Limits) We Have Shown that Fuzzy Spaces are Unstable in the Double Scaling Limit for Most of Examples