The correlation functions of plane polygons
The correlation function of a bounded plane figure of arbitrary shape and its derivatives are studied using their integral expressions. From these follows that the correlation function and its first d...
The correlation function of a bounded plane figure of arbitrary shape and its derivatives are studied using their integral expressions. From these follows that the correlation function and its first d...
A conformal variational approach for helices in nature
We propose a two step variational principle to describe helical structures in nature. The first one is governed by an energy action which is a linear function in both curvature and torsion allowing to...
We propose a two step variational principle to describe helical structures in nature. The first one is governed by an energy action which is a linear function in both curvature and torsion allowing to...
Closed-form evaluation of integrals appearing in positronium decay
J. Math. Phys. 50, 103528 (2009); doi:10.1063/1.3246615
Published 20 October 2009
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A theoretical prediction for the total width of the positronium decay in quantum electrodynamics has been given by Kniehl et al. [“Irrational constants in positronium decays,” Nucl. Phys. B (Proc. Suppl.) 184, 14 (2008), arXiv:hep-ph/0811.0306] in the form of an expansion in Sommerfeld's fine-structure constant. The coefficients of this expansion are given in the form of two-dimensional definite integrals, with an integrand involving the polylogarithm function. We provide here an analytic expression for the one-loop contribution to this problem.
©2009 American Institute of Physics
| History: | Received 4 June 2009; accepted 11 September 2009; published 20 October 2009 |
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http://link.aip.org/link/?JMAPAQ/50/103528/1 |
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REFERENCES (4)
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- Kniehl, B. A., Kotikov, A. V., and Veretin, O. L., “Irrational constants in positronium decays,”
Nucl. Phys. B (Proc. Suppl.) 183, 14 (2008) , arXiv:hep-ph/0811.0306. - Kniehl, B. A., Kotikov, A. V., and Veretin, O. L., “Orthopositronium lifetime: Analytic results in O(
) and O(3 ln ),” Phys. Rev. Lett. 101, 193401 (2008). - Lewin, L., Dilogarithms and Associated Functions, 2nd ed. (Elsevier, New York/North Holland, Amsterdam, 1981).
- Zagier, D., Number Theory and Related Topics (Tata Institute of Fundamental Research, Bombay, 1988), Chap. 12, pp. 231–249.
