Noncommutative Gauge Theories on Fuzzy Sphere and Fuzzy Torus from Matrix Model

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概要

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• We consider a reduced model of four-dimensional Yang-Mills theory with a mass term. This matrix model has two classical solutions, a two-dimensional fuzzy sphere and a two-dimensional fuzzy torus. These classical solutions are constructed by embedding them into three or four dimensional flat space. They exist for finite size matrices. Then, the number of quanta on these manifolds is finite. Noncommutative gauge theories on these noncommutative manifolds are derived by expanding the model around these classical solutions and studied by taking two large N limits, the commutative limit and the large radius limit. The behaviors of gauge invariant operators are also discussed.

• 理論物理学刊行会の論文
• 2001-08-25

著者

• Kimura Y

  High Energy Accelerator Research Organization (kek) : Department Of Physics Tokyo Institute Of Techn

• KIMURA Yusuke

  High Energy Accelerator Research Organization (KEK)

関連論文

• Noncommutative Gauge Theories on Fuzzy Sphere and Fuzzy Torus from Matrix Model

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