Geodesic
Vertex function in the theory of the weak interaction of leptons
Teoretičeskaâ i matematičeskaâ fizika, Tome 8 (1971) no. 1, pp. 3-15 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

The Edwards approximation is used to study the vertex function in the theory of the weak $V$–$A$ interaction of leptons with the $W$ boson. Edwards's linear integral equation for the sum of ladder-type diagrams is reduced to a boundary-value problem for a system of linear differential equations. The existence and uniqueness of the solution of this problem is proved and the higher approximation corrections are estimated. The principal correction for the renormatized vertex function is found to be of order $g_2\ln g_2$. The proof makes essential use of dispersion sum rules and some new Euclidean momenta sum rules for the vertex function are derived. 
@article{TMF_1971_8_1_a0,
     author = {B. S. Getmanov and A. T. Filippov},
     title = {Vertex function in the theory of the weak interaction of leptons},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {3--15},
     year = {1971},
     volume = {8},
     number = {1},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1971_8_1_a0/}
}
TY  - JOUR
AU  - B. S. Getmanov
AU  - A. T. Filippov
TI  - Vertex function in the theory of the weak interaction of leptons
JO  - Teoretičeskaâ i matematičeskaâ fizika
PY  - 1971
SP  - 3
EP  - 15
VL  - 8
IS  - 1
UR  - http://geodesic.mathdoc.fr/item/TMF_1971_8_1_a0/
LA  - ru
ID  - TMF_1971_8_1_a0
ER  - 
%0 Journal Article
%A B. S. Getmanov
%A A. T. Filippov
%T Vertex function in the theory of the weak interaction of leptons
%J Teoretičeskaâ i matematičeskaâ fizika
%D 1971
%P 3-15
%V 8
%N 1
%U http://geodesic.mathdoc.fr/item/TMF_1971_8_1_a0/
%G ru
%F TMF_1971_8_1_a0
B. S. Getmanov; A. T. Filippov. Vertex function in the theory of the weak interaction of leptons. Teoretičeskaâ i matematičeskaâ fizika, Tome 8 (1971) no. 1, pp. 3-15. http://geodesic.mathdoc.fr/item/TMF_1971_8_1_a0/

[1] S. Okubo, Progr. Theor. Phys., 11 (1954), 80 | DOI | MR | Zbl

[2] R. Arnowitt, D. S. Deser, Phys. Rev., 100 (1955), 349 | DOI | MR

[3] B. M. Barbashov, G. V. Efimov, ZhETF, 43 (1963), 1057

[4] H. Lehmann, Preprint IC/69/121, Trieste, 1969

[5] G. V. Efimov, ZhETF, 44 (1963), 2107 | MR | Zbl

[6] G. Feinberg, A. Pais, Phys. Rev., 131 (1963), 2724 ; 133 (1964), B477 ; T. D. Lee, Phys. Rev., 128 (1962), 899 | DOI | MR | DOI | MR | DOI | MR | Zbl

[7] B. Schroer, J. Math. Phys., 7 (1966), 10 | DOI | MR

[8] B. Arbuzov, A. Filippov, Nuovo Cim., 38 (1965), 796 | DOI | MR

[9] C. Ceolinea, Nuovo Cim., 26 (1962), 247 ; G. Furlan, G. Mahoux, Nuovo Cim., 36 (1965), 215 | DOI | DOI | MR | Zbl

[10] W. Guttinger, Fortschr. Phys., 14 (1966), 483 | DOI | MR | Zbl

[11] B. A. Arbuzov, A. T. Filippov, Trudy Mezhdunarodnogo soveschaniya po nelokalnoi kvantovoi teorii polya, Dubna, 1967

[12] M. K. Volkov, Trudy Mezhdunarodnogo soveschaniya po nelokalnoi kvantovoi teorii polya, Dubna, 1967; M. K. Volkov, Ann. Phys., 49 (1968), 202 | DOI | MR

[13] B. A. Arbuzov, N. M. Atakishiev, A. T. Filippov, YaF, 8 (1968), 385

[14] A. T. Filippov, Proc. Top. Conf. Weak Int., CERN, Geneva, 1969

[15] S. Okubo, Nuovo Cim., 19 (1961), 574 | DOI | MR | Zbl

[16] Yu. N. Epifanov, A. T. Filippov, Pisma ZhETF, 9 (1969), 601

[17] H. Umezawa, S. Kamefuchi, Nucl. Phys., 23 (1961), 399 | DOI | MR

[18] A. T. Filippov, Phys. Lett., 9 (1964), 78 ; А. Т. Филиппов, Препринт ОИЯИ P-1493, 1963 ; Межд. зимняя школа теоретич. физики при ОИЯИ, Сб., т. 2, Дубна, 1964; B. Arbuzov, A. Filippov, Phys. Lett., 13 (1964), 804 | DOI | MR | MR | DOI | MR

[19] S. Edwards, Phys. Rev., 90 (1953), 284 | DOI | MR | Zbl

[20] S. Okubo, D. Feldman, Phys. Rev., 117 (1960), 467

[21] E. S. Fradkin, Kvantovaya teoriya polya i gidrodinamika, Sb., «Nauka», 1965

[22] G. C. Wick, Phys. Rev., 96 (1954), 1124 | DOI | MR | Zbl

[23] E. Ains, Obyknovennye differentsialnye uravneniya, ONTI, Kharkov, 1939 ; Э. Коддингтон, Н. Левинсон, Теория обыкновенных дифференциальных уравнений, ИЛ, 1958 | MR

[24] I. S. Gradshtein, I. M. Ryzhik, Tablitsy integralov, summ, ryadov i proizvedenii, Fizmatgiz, 1963 | MR