Ultraviolet asymptotic behavior in the presence of non-Abelian gauge groups
Teoretičeskaâ i matematičeskaâ fizika, Tome 19 (1974) no. 2, pp. 149-162
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A study is made of a class of theories of a Yang–Mills field interacting with scalar and spinor fields, including models with spontaneously broken symmetries. It is shown that all fairly simple models of such type, except for the massless Yang–Mills field interacting with only fermions, lead to theories that go beyond the framework of weak coupling with respect to at least one of the coupling constants. However, there exists a possibility under which in the ultraviolet limit the effective constant of the four-meson interaction tends to a finite value and the Yang–Mills constant tends to zero. Allowance for an additional Yukawa interaction does not qualitatively affect this picture.
@article{TMF_1974_19_2_a1,
author = {V. V. Belokurov and A. A. Vladimirov and D. I. Kazakov and A. A. Slavnov and D. V. Shirkov},
title = {Ultraviolet asymptotic behavior in the presence of {non-Abelian} gauge groups},
journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
pages = {149--162},
publisher = {mathdoc},
volume = {19},
number = {2},
year = {1974},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TMF_1974_19_2_a1/}
}
TY - JOUR AU - V. V. Belokurov AU - A. A. Vladimirov AU - D. I. Kazakov AU - A. A. Slavnov AU - D. V. Shirkov TI - Ultraviolet asymptotic behavior in the presence of non-Abelian gauge groups JO - Teoretičeskaâ i matematičeskaâ fizika PY - 1974 SP - 149 EP - 162 VL - 19 IS - 2 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/TMF_1974_19_2_a1/ LA - ru ID - TMF_1974_19_2_a1 ER -
%0 Journal Article %A V. V. Belokurov %A A. A. Vladimirov %A D. I. Kazakov %A A. A. Slavnov %A D. V. Shirkov %T Ultraviolet asymptotic behavior in the presence of non-Abelian gauge groups %J Teoretičeskaâ i matematičeskaâ fizika %D 1974 %P 149-162 %V 19 %N 2 %I mathdoc %U http://geodesic.mathdoc.fr/item/TMF_1974_19_2_a1/ %G ru %F TMF_1974_19_2_a1
V. V. Belokurov; A. A. Vladimirov; D. I. Kazakov; A. A. Slavnov; D. V. Shirkov. Ultraviolet asymptotic behavior in the presence of non-Abelian gauge groups. Teoretičeskaâ i matematičeskaâ fizika, Tome 19 (1974) no. 2, pp. 149-162. http://geodesic.mathdoc.fr/item/TMF_1974_19_2_a1/