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On the Exponentiation of Infrared Logarithms in Massless (φ 3 ) 6 ‐theory
Author(s) -
Dörfel B.,
Dorn H.,
Mann G.
Publication year - 1979
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.19794910608
Subject(s) - exponentiation , massless particle , logarithm , propagator , physics , series (stratigraphy) , mathematical physics , renormalization group , infrared , theoretical physics , mathematics , quantum mechanics , mathematical analysis , paleontology , biology
We investigate the relation between the coefficients of the perturbative series for the propagator in massless theories and the coefficients of the perturbative series of the renormalization group quantities. This enable us to prove, that the concept of exponentiation in the sense introduced by POGGIO is valid in massless theories to arbitrary high order at the leading log level, but breaks down if nonleading log's are included.