Geodesic
Representation of symmetry group transformation operators in the interaction picture
Teoretičeskaâ i matematičeskaâ fizika, Tome 73 (1987) no. 2, pp. 311-315 
G. P. Jorjadze; A. N. Kvinikhidze; A. M. Khvedelidze. Representation of symmetry group transformation operators in the interaction picture. Teoretičeskaâ i matematičeskaâ fizika, Tome 73 (1987) no. 2, pp. 311-315. http://geodesic.mathdoc.fr/item/TMF_1987_73_2_a14/
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Voir la notice de l'article provenant de la source Math-Net.Ru

A representation similar to the Dyson time-ordered exponent is obtained for the operators of arbitrary continuous symmetry group transformations of interacting quantum field system. The exponent is given by the integral of the interaction Hamiltonian density in the Dirac picture over the space-time region determined by the symmetry transformation.

[1] Dyson F. J., Phys. Rev., 75 (1949), 486–502 ; 1736–1755 | DOI | MR | Zbl | MR | Zbl

[2] Kvinikhidze A. N., Matveev V. A., Khvedelidze A. M., Kovariantnyi operator evolyutsii v sostavnykh modelyakh kvantovoi teorii polya, Preprint R2-86-219, OIYaI, Dubna, 1986

[3] Vaitman A. S., Problemy v relyativistskoi dinamike kvantovannykh polei, Fizmatgiz, M., 1968