A dilogarithmic integral arising in quantum field theory
Recently, an interesting dilogarithmic integral arising in quantum field theory has been closed-form evaluated in terms of the Clausen function Cl(2)(theta) by Coffey [J. Math. Phys. 49, 093508 (2008)]. It represents the volume of an ideal tetrahedron in hyperbolic space and is involved in two intriguing equivalent conjectures of Borwein and Broadhurst. It is shown here by simple and direct arguments that this integral can be expressed by the triplet of the Clausen function values which are involved in one of the two above-mentioned conjectures.
Keywords:integral equations / quantum field theory
Source:Journal of Mathematical Physics, 2009, 50, 2
- Ministry of Science of the Republic of Serbia