Электронный каталог

Статья

Onishchenko, A.I.
Three-Loop Moments and Spectral Density of Photon Polarization Function in QED / A.I.Onishchenko // Natural Science Review [Electronic resource]. – 2024. – No. 1. – P. 2. – URL: https://nsr-jinr.ru/index.php/nsr/article/view/9. – Bibliogr.: 15.

We calculate three-loop photon spectral density in QED with N different species of electrons. The obtained results were expressed in terms of iterated integrals, which can be either reduced to Goncharov’s polylogarithms or written in terms of one-fold integrals of harmonic polylogarithms and complete elliptic integrals. In addition, we provide threshold and high-energy asymptotics of the calculated spectral density. It is shown that the use of the obtained spectral density correctly reproduces separately calculated moments of corresponding photon polarization operator.



ОИЯИ = ОИЯИ (JINR)2024
Спец.(статьи,препринты) = С 324.1а - Квантовая электродинамика. Эксперименты по проверке КЭД при высоких и низких энергиях$