Charge quantization conditions based on the Atiyah-Singer index theorem

被引：11

作者：

Deguchi, Shinichi ^{[1
]}

Kitsukawa, Kaoru

机构：

[1] Nihon Univ, Coll Sci & Technol, Inst Quantum Sci, Tokyo 1018308, Japan

[2] Nihon Univ, Grad Sch Quantum Sci & Technol, Tokyo 1018308, Japan

来源：

PROGRESS OF THEORETICAL PHYSICS | 2006年 / 115卷 / 06期

关键词：

D O I：

10.1143/PTP.115.1137

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

Dirac's quantization condition, eg = n/2 (n is an element of Z), and Schwinger's quantization condition, eg = n (n is an element of 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.

引用

页码：1137 / 1149

页数：13

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