Электронный каталог

Статья

Yukalov, V.I.
Strong-Coupling Extrapolation of Gell-Mann-Low Functions : XXV International Baldin Seminar on High Energy Physics Problems «Relativistic Nuclear Physics and Quantum Chromodynamics», Dubna, September 18–23, 2023 : Materials / V.I.Yukalov, E.P.Yukalova // Физика элементарных частиц и атомного ядра. – 2024. – Т. 55, № 4. – P. 1169. – URL: http://www1.jinr.ru/Pepan/v-55-4/62_Yukalov_ann.pdf.

Gell-Mann–Low functions can be calculated by means of perturbation theory and expressed as truncated series in powers of asymptotically small coupling parameters. However, it is necessary to know their behavior at finite values of the parameter and, moreover, their behavior at asymptotically large coupling parameters is also important. The problem of extrapolation of weak-coupling expansions to the region of finite and even infinite coupling parameters is considered. A method is suggested allowing for such an extrapolation. The basics of the method are described and illustrations of its applications are given for the examples where its accuracy and convergence can be checked. It is shown that in some cases the method allows for the exact reconstruction of the whole functions from their weak-coupling asymptotic expansions. Gell-Mann–Low functions in multicomponent field theory, quantum electrodynamics, and quantum chromodynamics are extrapolated to their strong-coupling limits.



ОИЯИ = ОИЯИ (JINR)2024
Спец.(статьи,препринты) = С 323.5 - Теория взаимодействия частиц при высоких энергиях$