SPACE-TIME LOCALITY IN THE SP(2)-SYMMETRICAL LAGRANGIAN-FORMALISM

Citation
Iv. Tyutin et Ss. Shakhverdiev, SPACE-TIME LOCALITY IN THE SP(2)-SYMMETRICAL LAGRANGIAN-FORMALISM, Theoretical and mathematical physics, 115(3), 1998, pp. 658-669
Citations number
15
Categorie Soggetti
Physycs, Mathematical",Physics,"Physycs, Mathematical
ISSN journal
00405779
Volume
115
Issue
3
Year of publication
1998
Pages
658 - 669
Database
ISI
SICI code
0040-5779(1998)115:3<658:SLITSL>2.0.ZU;2-R
Abstract
The existence of a local solution to the Sp(2) master equation for the gauge field theory is proved in the perturbation theory under standar d regularity assumptions for the action. The arbitrariness of solution s 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 t he additional assumption that the gauge transformation generators are Lorentz tensors) Lorentz invariant.