The star exponential and path integrals on compact groups (Q1182294)
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scientific article; zbMATH DE number 30788
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The star exponential and path integrals on compact groups |
scientific article; zbMATH DE number 30788 |
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The star exponential and path integrals on compact groups (English)
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28 June 1992
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In a recent paper the present authors in collaboration with another [\textit{C. A. Alcalde}, \textit{A. C. Cadavid}, and \textit{M. Nakashima}, Lett. Math. Phys. 22, No. 1, 15-19 (1991; Zbl 0729.58021)] constructed a path integral for SU(2) in terms of the star exponential using local coordinates. In the present work the result of the earlier work is globalized and the path integral is constructed for an arbitrary compact Lie group. A phase factor present in the earlier work is shown to be zero.
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star exponential
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path integrals
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compact groups
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