Non-Commutative Field Theory on S^4(Particles and Fields)

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概要

• 論文の詳細を見る

• In a previous paper (hep-th/0402010) we proposed a matrix configuration for a non-commutative S^4 (NC4S) and constructed a non-commutative (star) product for field theories on NC4S. In the present paper we will show that any matrix can be expanded in terms of the matrix configuration representing NC4S just like any matrix can be expanded into symmetrized products of the matrix configuration for non-commutative S^2. Then a scalar field theory on NC4S is constructed. Our matrix configuration describes two S^4 joined at the circle and the Matrix theory action contains a projection matrix inside the trace to restrict the space of matrices to that for one S^4.

• 理論物理学刊行会の論文
• 2004-11-25

著者

• NAKAYAMA Ryuichi

  Department of Physics, Hokkaido University

• Shimono Yusuke

  Division Of Physics Graduate School Of Science Hokkaido University

• NAKAYAMA Ryuichi

  Division of Physics, Graduate School of Science, Hokkaido University

• Nakayama Ryuichi

  Division Of Physics Graduate School Of Science Hokkaido University

• SHIMONO Yusuke

  Division of Physics, Graduate School of Science, Hokkaido University

関連論文

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• Non-Commutative Field Theory on S^4(Particles and Fields)

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