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https://tkuir.lib.tku.edu.tw/dspace/handle/987654321/27821
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| 题名: | ζ functions for nonminimal operators |
| 作者: | Cho, H. T.;Kantowski, R. |
| 贡献者: | 淡江大學物理學系 |
| 日期: | 1995-10 |
| 上传时间: | 2013-07-09 15:13:10 (UTC+8) |
| 出版者: | College Park: American Physical Society |
| 摘要: | We evaluate zeta functions ζ(s) at s=0 for invariant nonminimal second-order vector and tensor operators defined on maximally symmetric even dimensional spaces. We decompose the operators into their irreducible parts and obtain their corresponding eigenvalues. Using these eigenvalues, we are able to explicitly calculate ζ(0) for the cases of Euclidean spaces and N-spheres. In the N-sphere case, we make use of the Euler-Maclaurin formula to develop asymptotic expansions for the required sums. The resulting ζ(0) values for dimensions 2 to 10 are given in the Appendix. |
| 關聯: | Physical Review D (Particles and Fields) 52(8), pp.4588-4599 |
| DOI: | 10.1103/PhysRevD.52.4588 |
| 显示于类别: | [物理學系暨研究所] 期刊論文
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