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arXiv 0801.0272math-phmath.MP
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量子场论中ln tan积分的计算

Evaluation of a ln tan integral arising in quantum field theory

Mark W. Coffey

摘要:

我们分析评估双对数积分,这是典型的体积的理想四面体在双曲几何。此外,我们还得到了Clausen函数Cl_2和Catalan常数G=Cl_2(π/2)的新表示,以及正弦函数值和Clausen函数值之间的新关系。

英文摘要:

We analytically evaluate a dilogarithmic integral that is prototypical of volumes of ideal tetrahedra in hyperbolic geometry. We additionally obtain new representations of the Clausen function Cl_2 and the Catalan constant G=Cl_2(π/2), as well as new relations between sine and Clausen function values.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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