Conserved Quantities of Field Theory on Discrete Spacetime

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概要

• 論文の詳細を見る

• The problem whether there exist conserved quantities in the theory on discrete spacetime is studied. This problem is not obvious in the theory on discrete spacetime, because Noether's theorem is not applicable. The same problem arises even in the classical dynamics on discrete time. Some examples are shown in the classical dynamics with conserved quantities. The equation of motion is interpreted as an iterative map, which does not behave chaotically if there exists a conserved quantity. By suitable discretization the equation obtains a conserved quantity. In conclusion, an example of classical field theory with a conserved quantity is shown on four-dimensional discrete spacetime.

• 理論物理学刊行会の論文
• 1995-01-25

著者

• YAMAMOTO Hiroshi

  Department of Macromolecular Science, Graduate School of Science, Osaka University

• HORIBE Minoru

  Department of Education, Fukui University

• HASHIMOTO Takaaki

  Department of Applied Physics, Fukui University

• Hashimoto T

  Fukui Univ. Fukui Jpn

• Hashimoto Takaaki

  Department Of Applied Mathematics Faculty Of Engineering Science Osaka University

• Yamamoto H

  Department Of Applied Physics Fukui University

• Horibe M

  Department Of Applied Physics Faculty Of Engineering Fukui University

• Horibe Minoru

  Department Of Education Fukui University

• HAYASHI Akihisa

  Department of Applied Physics, Fukui University

• Hayashi A

  Department Of Applied Physics Fukui University

• Hayashi Akihisa

  Department Of Applied Physics Fukui University

• Yamamoto Hiroshi

  Department Of Energy Engineering And Science Nagoya University

• Yamamoto H

  Ibaraki Univ. Mito

• Yamamoto Hiroshi

  Departmemt Of Chemical Engineering University Of Tokyo

• YAMAMOTO Hiroshi

  Department of Applied Physics, Fukui University

• HAYASHI Akihisa

  Department of Physics, Fukui University

• HAYASHI Akihisa

  Department of Physics, Kyoto University

• HAYASHI Akihisa

  Institute for Nuclear Study, University of Tokyo

• HORIBE Minoru

  Department of Physics, Osaka University

• HORIBE Minoru

  Department of Physics, Faculty of Education

• HORIBE Minoru

  Department of Natural Science, Fukui University

• HORIBE Minoru

  Department of Applied Physics, Faculty of Engineering, Fukui University

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