Noncommutative Minkowski Space and Transcendental Calculus(Field theory, Lattice and Noncommutative space,NONCOMMUTATIVE GEOMETRY AND QUANTUM SPACETIME IN PHYSICS)

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概要

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• Appropriate choice of ordered expressions of the Weyl algebra provides us a useful transcendental calculus [Ref. 14)]. Analysing star exponential functions of quadratic forms leads us matrix representations naturally. We develop a previous calculus in Ref. 14) to construct an ordered Lie group with an adjoint invariant Lorentz metric and various interesting matrix representations according to orderings.

• 理論物理学刊行会の論文
• 2008-03-07

著者

• 前田 吉昭

  慶應義塾大学理工学部

• 大森 英樹

  東京理科大学 慶応大学

• Yoshioka Akira

  Department of Clinical Research, Maizuru Medical Center

• OMORI Hideki

  Department of Mathematics, Faculty of Science and Technology, Tokyo University of Science

• MAEDA Yoshiaki

  Department of Mathematics, Faculty of Science and Technology, Keio University

• MIYAZAKI Naoya

  Department of Mathematics, Faculty of Economics, Keio University

• Miyazaki Naoya

  Department Of Mathematics Faculty Of Economics Keio University

• Yoshioka Akira

  Department Of Mathematics Faculty Of Science Tokyo University Of Science

• Maeda Yoshiaki

  Department Of Administrative Nutrition Of Faculty Of Health And Nutrition Tokyo Seiei College

• 大森 英樹

  Department Of Mathematics Faculty Of Science And Technology Tokyo University Of Science

• Yoshioka Akira

  Department Of Applied Biological Chemistry Shizuoka University

• Miyazaki Naoya

  Department of Mathematics, Keio University, Faculty of Science and Technology

• YOSHIOKA Akira

  Department of Mathematics, Faculty of Science, Tokyo University of Science

• Yoshioka Akira

  Department of Mathematics, Faculty of Engineering, Science University of Tokyo

• OMORI Hideki

  Department of Mathematics College of Liberal Arts and Science Okayama University

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