Teoretičeskaâ i matematičeskaâ fizika, Tome 115 (1998) no. 3, pp. 373-388
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I. V. Tyutin; Sh. S. Shakhverdiev. Space-time locality in the $Sp(2)$-symmetric Lagrangian formalism. Teoretičeskaâ i matematičeskaâ fizika, Tome 115 (1998) no. 3, pp. 373-388. http://geodesic.mathdoc.fr/item/TMF_1998_115_3_a3/
@article{TMF_1998_115_3_a3,
author = {I. V. Tyutin and Sh. S. Shakhverdiev},
title = {Space-time locality in the $Sp(2)$-symmetric {Lagrangian} formalism},
journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
pages = {373--388},
year = {1998},
volume = {115},
number = {3},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TMF_1998_115_3_a3/}
}
TY - JOUR
AU - I. V. Tyutin
AU - Sh. S. Shakhverdiev
TI - Space-time locality in the $Sp(2)$-symmetric Lagrangian formalism
JO - Teoretičeskaâ i matematičeskaâ fizika
PY - 1998
SP - 373
EP - 388
VL - 115
IS - 3
UR - http://geodesic.mathdoc.fr/item/TMF_1998_115_3_a3/
LA - ru
ID - TMF_1998_115_3_a3
ER -
%0 Journal Article
%A I. V. Tyutin
%A Sh. S. Shakhverdiev
%T Space-time locality in the $Sp(2)$-symmetric Lagrangian formalism
%J Teoretičeskaâ i matematičeskaâ fizika
%D 1998
%P 373-388
%V 115
%N 3
%U http://geodesic.mathdoc.fr/item/TMF_1998_115_3_a3/
%G ru
%F TMF_1998_115_3_a3
The existence of a local solution to the $Sp(2)$ master equation for the gauge field theory is proved in the perturbation theory under standard regularity assumptions for the action. The arbitrariness of solutions to the $Sp(2)$ master equation is described, provided they are proper. The effective action can be chosen to be $Sp(2)$ invariant and (under the additional assumption that the gauge transformation generators are Lorentz tensors) Lorentz invariant.
