Alternative Evaluation of a ln tan Integral Arising in Quantum Field Theory View Full Text


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Article Info

DATE

2010-06

AUTHORS

Mark W. Coffey

ABSTRACT

A certain dilogarithmic integral I7 turns up in a number of contexts including Feynman diagram calculations, volumes of tetrahedra in hyperbolic geometry, knot theory, and conjectured relations in analytic number theory. We provide an alternative explicit evaluation of a parameterized family of integrals containing this particular case. By invoking the Bloch–Wigner form of the dilogarithm function, we produce an equivalent result, giving a third evaluation of I7. We also alternatively formulate some conjectures which we pose in terms of values of the specific Clausen function Cl2. More... »

PAGES

191-204

Identifiers

URI

http://scigraph.springernature.com/pub.10.1007/s11040-010-9074-y

DOI

http://dx.doi.org/10.1007/s11040-010-9074-y

DIMENSIONS

https://app.dimensions.ai/details/publication/pub.1046286392


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