Gauge conditions for the Yang--Mills field
Teoretičeskaâ i matematičeskaâ fizika, Tome 38 (1979) no. 1, pp. 3-14
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The problem of choosing the conditions that fix the gauge in the formalism of a path integral over phase space is discussed. It is suggested that one should use conditions which include both the vector potential $A$ and its canonically conjugate variable $E$. Conditions are found that make it possible to solve explicitly the constraint and formulate the theory solely in terms of physical degrees of freedom.
@article{TMF_1979_38_1_a0,
author = {A. G. Izergin and V. E. Korepin and M. A. Semenov-Tian-Shansky and L. D. Faddeev},
title = {Gauge conditions for the {Yang--Mills} field},
journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
pages = {3--14},
publisher = {mathdoc},
volume = {38},
number = {1},
year = {1979},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TMF_1979_38_1_a0/}
}
TY - JOUR AU - A. G. Izergin AU - V. E. Korepin AU - M. A. Semenov-Tian-Shansky AU - L. D. Faddeev TI - Gauge conditions for the Yang--Mills field JO - Teoretičeskaâ i matematičeskaâ fizika PY - 1979 SP - 3 EP - 14 VL - 38 IS - 1 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/TMF_1979_38_1_a0/ LA - ru ID - TMF_1979_38_1_a0 ER -
%0 Journal Article %A A. G. Izergin %A V. E. Korepin %A M. A. Semenov-Tian-Shansky %A L. D. Faddeev %T Gauge conditions for the Yang--Mills field %J Teoretičeskaâ i matematičeskaâ fizika %D 1979 %P 3-14 %V 38 %N 1 %I mathdoc %U http://geodesic.mathdoc.fr/item/TMF_1979_38_1_a0/ %G ru %F TMF_1979_38_1_a0
A. G. Izergin; V. E. Korepin; M. A. Semenov-Tian-Shansky; L. D. Faddeev. Gauge conditions for the Yang--Mills field. Teoretičeskaâ i matematičeskaâ fizika, Tome 38 (1979) no. 1, pp. 3-14. http://geodesic.mathdoc.fr/item/TMF_1979_38_1_a0/