Investigation of equations for coefficient functions of the Yang--Mills field and their solutions
Teoretičeskaâ i matematičeskaâ fizika, Tome 73 (1987) no. 1, pp. 33-46
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Theory of Yang–Mills fields is considered on the basis of coefficient functions in
the Euclidean 4-dimensional space-time. Equations are constructed for these functions
and formal solutions are persented which coincide with the solutions obtained in the
perturbation theory. To remove ultraviolet divergences of the formal solutions, the equations
are considered in the pair of functional spaces of translation invariant functions
and a projection space is introduced. By means of the projection-iterative method renormalised
solutions are constructed which are defined on the functional space.
@article{TMF_1987_73_1_a3,
author = {Van Sifu and Xue Kang},
title = {Investigation of equations for coefficient functions of the {Yang--Mills} field and their solutions},
journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
pages = {33--46},
publisher = {mathdoc},
volume = {73},
number = {1},
year = {1987},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TMF_1987_73_1_a3/}
}
TY - JOUR AU - Van Sifu AU - Xue Kang TI - Investigation of equations for coefficient functions of the Yang--Mills field and their solutions JO - Teoretičeskaâ i matematičeskaâ fizika PY - 1987 SP - 33 EP - 46 VL - 73 IS - 1 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/TMF_1987_73_1_a3/ LA - ru ID - TMF_1987_73_1_a3 ER -
%0 Journal Article %A Van Sifu %A Xue Kang %T Investigation of equations for coefficient functions of the Yang--Mills field and their solutions %J Teoretičeskaâ i matematičeskaâ fizika %D 1987 %P 33-46 %V 73 %N 1 %I mathdoc %U http://geodesic.mathdoc.fr/item/TMF_1987_73_1_a3/ %G ru %F TMF_1987_73_1_a3
Van Sifu; Xue Kang. Investigation of equations for coefficient functions of the Yang--Mills field and their solutions. Teoretičeskaâ i matematičeskaâ fizika, Tome 73 (1987) no. 1, pp. 33-46. http://geodesic.mathdoc.fr/item/TMF_1987_73_1_a3/