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Abstract
We investigate a bound state problem in three-dimensional quantum electrodynamics with a Chern-Simons term. The Behte-Salpeter equation is formulated for a fermion-anti-fermion system under a ladder approximation. In a large mass expansion, the Schrodinger equation is derived and solved by a numerical method. The wave functions of bound states and the energy eigenvalues are obtained for various values of a topological mass and also a fermion mass. By inspecting the results, we find interesting features of the bounc system: There exists a critical value of the topological mass, beyond which the bound state disappears. As the topological mass decreases, all the energy of the bound states also decrease logarithmically. The Chern-Simons term gives the bound states a repulsive effect.
Journal
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- 奈良教育大学紀要. 自然科学
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奈良教育大学紀要. 自然科学 50 (2), 1-14, 2001-10-15
奈良教育大学
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Keywords
Details 詳細情報について
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- CRID
- 1050001339050454400
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- NII Article ID
- 110000296841
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- NII Book ID
- AN00181070
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- ISSN
- 05472407
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- NDL BIB ID
- 6034189
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- Text Lang
- en
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- Article Type
- departmental bulletin paper
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- Data Source
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- IRDB
- NDL
- CiNii Articles