Three-loop moments and spectral density of photonpolarization function in QED
Ключевые слова: photon polarization operator, radiative corrections, quantum electrodynamics
Категории: Физика , Физика высоких энергий (теория)
Прислана: 10.09.2024; Опубликовано 16.12.2024

Как цитировать

A. I. Onishchenko. "Three-loop moments and spectral density of photonpolarization function in QED" Natural Science Review 1 2 (2024)
https://nsr-jinr.ru/index.php/nsr/article/view/9
A. I. Onishchenko1,a
  • 1JINR
  • aonish@bk.ru
Natural Science Review 1 2 (2024) 16.12.2024
PDF (Английский)
Supplementary materials (Английский)

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.