Geodesic
Solution of the Bloch–Nordsieck model by the Delbourgo–West method
Teoretičeskaâ i matematičeskaâ fizika, Tome 43 (1980) no. 3, pp. 343-349 
A. I. Alekseev; A. Ya. Rodionov. Solution of the Bloch–Nordsieck model by the Delbourgo–West method. Teoretičeskaâ i matematičeskaâ fizika, Tome 43 (1980) no. 3, pp. 343-349. http://geodesic.mathdoc.fr/item/TMF_1980_43_3_a4/
@article{TMF_1980_43_3_a4,
     author = {A. I. Alekseev and A. Ya. Rodionov},
     title = {Solution of~the {Bloch{\textendash}Nordsieck} model by~the {Delbourgo{\textendash}West} method},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {343--349},
     year = {1980},
     volume = {43},
     number = {3},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1980_43_3_a4/}
}
TY  - JOUR
AU  - A. I. Alekseev
AU  - A. Ya. Rodionov
TI  - Solution of the Bloch–Nordsieck model by the Delbourgo–West method
JO  - Teoretičeskaâ i matematičeskaâ fizika
PY  - 1980
SP  - 343
EP  - 349
VL  - 43
IS  - 3
UR  - http://geodesic.mathdoc.fr/item/TMF_1980_43_3_a4/
LA  - ru
ID  - TMF_1980_43_3_a4
ER  - 
%0 Journal Article
%A A. I. Alekseev
%A A. Ya. Rodionov
%T Solution of the Bloch–Nordsieck model by the Delbourgo–West method
%J Teoretičeskaâ i matematičeskaâ fizika
%D 1980
%P 343-349
%V 43
%N 3
%U http://geodesic.mathdoc.fr/item/TMF_1980_43_3_a4/
%G ru
%F TMF_1980_43_3_a4

Voir la notice de l'article provenant de la source Math-Net.Ru

The spectral iterative method due to Delbourgo and West is applied to the Bloch–Nordsieck model. It is shown that this method makes it possible to evaluate the complete renormalised Green function already on the first stage of the iteration process.

[1] R. Delbourgo, P. West, J. Phys. A: Math. Gen., 10 (1977), 1049 | DOI | MR

[2] R. Delbourgo, J. Phys. A: Math. Gen., 10 (1977), 1369 | DOI | MR

[3] D. Atkinson, H. A. Slim, Preprint Institute for Theoretical Physics, June, 1978, University of Groningen, The Netherlands

[4] A. Khare, S. Kumar, Phys. Lett., 78B (1978), 94 | DOI

[5] R. Delbourgo, T. J. Shepherd, J. Phys. G: Nucl. Phys., 4 (1978), L 197 | DOI

[6] K. Johnson, M. Baker, R. Willey, Phys. Rev., 136 (1964), B111 ; M. Baker, K. Johnson, Phys. Rev., D3 (1971), 2516 | MR

[7] A. V. Svidzinskii, ZhETF, 31 (1956), 324

[8] N. N. Bogolyubov, D. V. Shirkov, Vvedenie v teoriyu kvantovannykh polei, «Nauka», 1976 | MR

[9] R. E. Cutkosky, J. Math. Phys., 1 (1960), 429 ; Phys. Rev., 96 (1954), 1135 | DOI | MR | Zbl | DOI | MR | Zbl