Alternative evaluation of a ln tan integral arising in quantum field theory
| dc.creator | Coffey, Mark W. | |
| dc.date | 2008-10-28 | |
| dc.date | 2008-11-15 | |
| dc.date.accessioned | 2026-07-07T10:18:11Z | |
| dc.date.available | 2026-07-07T10:18:11Z | |
| dc.description | A certain dilogarithmic integral I_7 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 I_7. We also alternatively formulate some conjectures which we pose in terms of values of the specific Clausen function Cl_2. | |
| dc.description | 20 pages, no figures, Appendix B added | |
| dc.identifier | https://arxiv.org/abs/0810.5077 | |
| dc.identifier | http://arxiv.org/abs/0810.5077 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/174105 | |
| dc.subject | Mathematical Physics | |
| dc.subject | 33B30, 11M35, 11M06 | |
| dc.title | Alternative evaluation of a ln tan integral arising in quantum field theory | |
| dc.type | text |