Geometric discretization scheme applied to the Abelian Chern-Simons theory
We give a detailed general description of a recent geometrical discretization scheme and illustrate, by explicit numerical calculation, the scheme’s ability to capture topological features. The scheme is applied to the Abelian Chern-Simons theory and leads, after a necessary field doubling, to an ex...
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| Main Authors: | , , , |
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| 格式: | Article |
| 語言: | English |
| 出版: |
2013
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| 主題: | |
| 在線閱讀: | https://hdl.handle.net/10356/100977 http://hdl.handle.net/10220/18277 |
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| 總結: | We give a detailed general description of a recent geometrical discretization scheme and illustrate, by explicit numerical calculation, the scheme’s ability to capture topological features. The scheme is applied to the Abelian Chern-Simons theory and leads, after a necessary field doubling, to an expression for the discrete partition function in terms of untwisted Reidemeister torsion and of various triangulation-dependent factors. The discrete partition function is evaluated computationally for various triangulations of S 3 and of lens spaces. The results confirm that the discretization scheme is triangulation independent and coincides with the continuum partition function. |
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