Charge Quantization Conditions Based on the Atiyah-Singer Index Theorem(Particles and Fields)

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概要

• 論文の詳細を見る

• Dirac's quantization condition, eg=n/2 (n∈Z), and Schwinger's quantization condition, eg=n (n∈Z), for an electric charge e and a magnetic charge g are derived by utilizing the Atiyah-Singer index theorem in two dimensions. The massless Dirac equation on a sphere with a magnetic-monopole background is solved in order to count the number of zero-modes of the Dirac operator.

• 理論物理学刊行会の論文
• 2006-06-25

著者

• DEGUCHI Shinichi

  Institute of Quantum Science, College of Science and Technology, Nihon University

• Deguchi Shinichi

  Institute Of Quantum Science College Of Science And Technology Nihon University

• Deguchi Shinichi

  Nihon Univ. Tokyo Jpn

• Kitsukawa Kaoru

  Graduate School of Quantum Science and Technology, Nihon University

• Kitsukawa Kaoru

  Graduate School Of Quantum Science And Technology Nihon University

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