Many-particle relativistic equations for fermions
Teoretičeskaâ i matematičeskaâ fizika, Tome 51 (1982) no. 1, pp. 22-33 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

Many-particle equations for fermions are investigated in the framework of Lagrangian field theory by using a Legendre transformation of the generating functional of the Green's functions. The general form of the $n$-fermion equation is established and the connected structure of the kernel is investigated. For the trilinear interaction $\overline\psi\mathscr{O}\psi{A}$ a relationship is obtained between the kernel of the $n$-particle equation and the $(2n+1)$-point Green's function.
@article{TMF_1982_51_1_a2,
     author = {V. E. Rochev},
     title = {Many-particle relativistic equations for fermions},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {22--33},
     year = {1982},
     volume = {51},
     number = {1},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1982_51_1_a2/}
}
TY  - JOUR
AU  - V. E. Rochev
TI  - Many-particle relativistic equations for fermions
JO  - Teoretičeskaâ i matematičeskaâ fizika
PY  - 1982
SP  - 22
EP  - 33
VL  - 51
IS  - 1
UR  - http://geodesic.mathdoc.fr/item/TMF_1982_51_1_a2/
LA  - ru
ID  - TMF_1982_51_1_a2
ER  - 
%0 Journal Article
%A V. E. Rochev
%T Many-particle relativistic equations for fermions
%J Teoretičeskaâ i matematičeskaâ fizika
%D 1982
%P 22-33
%V 51
%N 1
%U http://geodesic.mathdoc.fr/item/TMF_1982_51_1_a2/
%G ru
%F TMF_1982_51_1_a2
V. E. Rochev. Many-particle relativistic equations for fermions. Teoretičeskaâ i matematičeskaâ fizika, Tome 51 (1982) no. 1, pp. 22-33. http://geodesic.mathdoc.fr/item/TMF_1982_51_1_a2/

[1] Freedman D. Z., Lovelace C., Namyslowski J. M., Nuovo Cim., 43A:2 (1966), 258–324 | DOI | MR

[2] Taylor J. G., Phys. Rev., 150:4 (1966), 1321–1330 | DOI

[3] Huang K., Weldon H. A., Phys. Rev., D11:2 (1975), 257–278

[4] De Dominicis C., J. Math. Phys., 5:5 (1962), 983–999 | DOI

[5] Dahmen H. D., Jona-Lasinio G., Nuovo Cim., 52A:3 (1967), 807–836 | DOI

[6] Vasilev A. N., Funktsionalnye metody v kvantovoi teorii polya i statistike, LGU, L., 1976

[7] Rochev V. E., Preobrazovaniya Lezhandra i uravneniya dlya funktsii Grina, Preprint IFVE 80-8, IFVE, Serpukhov, 1980

[8] Nekrasov M. L., Rochev V. E., O dvukhchastichnykh uravneniyakh dlya fermionov v modelyakh s trilineinym vzaimodeistviem, Preprint IFVE 80-90, IFVE, Serpukhov, 1980

[9] Narodetsky I. M., Yakubovsky O. A., The integral equations for $N$-body scattering, Preprint ITEP 80-1, ITEP, M., 1980

[10] Kowalski K. L., Phys. Rev., D20:10 (1979), 2526–2531 | MR