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arXiv · 0801.0272

Evaluation of a ln tan integral arising in quantum field theory

Mark W. Coffey
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Abstract

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.

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Mark W. Coffey. 2008-01-01. Evaluation of a ln tan integral arising in quantum field theory. https://doi.org/10.1063/1.2981311

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