Quantization of Conductivity Induced by Topological Structure of Energy-Momentum Space in Generalized QED_3 : Particles and Fields
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概要
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A topological structure of mapping defined by propagator in the energy-momentum space of generalized three-dimensional quantum electrodynamics, which admits almost any interactions, is investigated. Using a Ward-Takahashi identity we relate a conductivity tensor, which is a linear response for an external electromagnetic field, to a topological invariant. By this a conductivity is quantized due to a topological reason. The origin of the topological quantization is non-triviality of mappings from energy-momentum space to quarternion space spanned by Dirac matrices and unit matrix. This quantization may be regarded as a new topological aspect of quantum field theory.
- 理論物理学刊行会の論文
- 1987-03-25
著者
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Matsuyama Toyoki
Department Of Physics Nara University Of Education
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Matsuyama Toyoki
Department Of Physics Hokkaido University
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Matsuyama Toyoki
Kyoto University
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