A dilogarithmic integral arising in quantum field theory
Abstract
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 theorySource:
Journal of Mathematical Physics, 2009, 50, 2Funding / projects:
- Ortogonalni sistemi i primene (RS-MESTD-MPN2006-2010-144004)
DOI: 10.1063/1.3085764
ISSN: 0022-2488
WoS: 000263803900029
Scopus: 2-s2.0-61449259961
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Institution/Community
VinčaTY - JOUR AU - Cvijović, Đurđe PY - 2009 UR - https://vinar.vin.bg.ac.rs/handle/123456789/3642 AB - 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. T2 - Journal of Mathematical Physics T1 - A dilogarithmic integral arising in quantum field theory VL - 50 IS - 2 DO - 10.1063/1.3085764 ER -
@article{ author = "Cvijović, Đurđe", year = "2009", abstract = "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.", journal = "Journal of Mathematical Physics", title = "A dilogarithmic integral arising in quantum field theory", volume = "50", number = "2", doi = "10.1063/1.3085764" }
Cvijović, Đ.. (2009). A dilogarithmic integral arising in quantum field theory. in Journal of Mathematical Physics, 50(2). https://doi.org/10.1063/1.3085764
Cvijović Đ. A dilogarithmic integral arising in quantum field theory. in Journal of Mathematical Physics. 2009;50(2). doi:10.1063/1.3085764 .
Cvijović, Đurđe, "A dilogarithmic integral arising in quantum field theory" in Journal of Mathematical Physics, 50, no. 2 (2009), https://doi.org/10.1063/1.3085764 . .