English

Evaluation of a ln tan integral arising in quantum field theory

Mathematical Physics 2008-11-26 v1 math.MP

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(\pi/2), as well as new relations between sine and Clausen function values.

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Cite

@article{arxiv.0801.0272,
  title  = {Evaluation of a ln tan integral arising in quantum field theory},
  author = {Mark W. Coffey},
  journal= {arXiv preprint arXiv:0801.0272},
  year   = {2008}
}

Comments

24 pages, no figures