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On the Summation of Non‐leading Logarithms in QCD
Author(s) -
Dorn H.,
Otto H. J.,
Wieczorek E.
Publication year - 1982
Publication title -
annalen der physik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.009
H-Index - 68
eISSN - 1521-3889
pISSN - 0003-3804
DOI - 10.1002/andp.19824940209
Subject(s) - propagator , exponentiation , physics , massless particle , logarithm , coupling constant , mathematical physics , constant (computer programming) , quantum chromodynamics , quantum electrodynamics , renormalization , gluon , particle physics , mathematical analysis , mathematics , computer science , programming language
Exploiting the relations between the expansion coefficients of Green's functions and those of β and γ functions in massless QFT, the summation up to the n‐th non‐leading logarithms is reduced to the solution of a system of linear differential equations, which in general differ from renormalization group equations. Applying this procedure to the gluon propagator the leading log approximation is modified near the mass shell by a constant factor only. Furthermore for the gluon propagator exponentiation in terms of the running coupling constant is argued to be restricted to leading logarithms.