Geodesic
Behavior of renormalized Feynman amplitudes under scale transformations $\lambda\varphi^4(x)$
Teoretičeskaâ i matematičeskaâ fizika, Tome 15 (1973) no. 3, pp. 340-352 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

A study is made of the behavior of the Feynman amplitudes renormalized by Speer's analytic regularization method under scale transformations in the $\lambda\varphi^4(x)$ theory with $m^2\ne0$. It is shown that logarithmic terms arise as a result of regularization under scale transformations of the renormalized Feynman amplitudes. 
@article{TMF_1973_15_3_a6,
     author = {V. F. Kovalenko},
     title = {Behavior of renormalized {Feynman} amplitudes under scale transformations $\lambda\varphi^4(x)$},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {340--352},
     year = {1973},
     volume = {15},
     number = {3},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1973_15_3_a6/}
}
TY  - JOUR
AU  - V. F. Kovalenko
TI  - Behavior of renormalized Feynman amplitudes under scale transformations $\lambda\varphi^4(x)$
JO  - Teoretičeskaâ i matematičeskaâ fizika
PY  - 1973
SP  - 340
EP  - 352
VL  - 15
IS  - 3
UR  - http://geodesic.mathdoc.fr/item/TMF_1973_15_3_a6/
LA  - ru
ID  - TMF_1973_15_3_a6
ER  - 
%0 Journal Article
%A V. F. Kovalenko
%T Behavior of renormalized Feynman amplitudes under scale transformations $\lambda\varphi^4(x)$
%J Teoretičeskaâ i matematičeskaâ fizika
%D 1973
%P 340-352
%V 15
%N 3
%U http://geodesic.mathdoc.fr/item/TMF_1973_15_3_a6/
%G ru
%F TMF_1973_15_3_a6
V. F. Kovalenko. Behavior of renormalized Feynman amplitudes under scale transformations $\lambda\varphi^4(x)$. Teoretičeskaâ i matematičeskaâ fizika, Tome 15 (1973) no. 3, pp. 340-352. http://geodesic.mathdoc.fr/item/TMF_1973_15_3_a6/

[1] C. G. Callan, Jr. Phys. Rev., D2 (1970), 1541

[2] K. Symanzik, Commun. Math. Phys., 18 (1970), 227 | DOI | MR | Zbl

[3] K. Wilson, Phys. Rev., D2 (1970), 1478

[4] S. Weinberg, Phys. Rev., 118 (1960), 838 | DOI | MR | Zbl

[5] O. I. Zavyalov, ZhETF, 47 (1964), 1099

[6] O. I. Zavyalov, B. M. Stepanov, YaF, 1 (1965), 922

[7] E. R. Speer, J. Math. Phys., 9 (1968), 1404 | DOI

[8] E. R. Speer, Generalized Feynman Amplitudes, Princeton University Press, 1969 | MR

[9] N. N. Bogolyubov, D. V. Shirkov, Vvedenie v teoriyu kvantovannykh polei, Gostekhizdat, 1957 | MR

[10] T. Kinoshita, J. Math. Phys., 3 (1962), 650 | DOI | Zbl

[11] M. Baker, K. Johnson, Phys. Rev., 183 (1969), 1292 | DOI

[12] K. Symanzik, Commun. Math. Phys., 23 (1971), 49 | DOI | MR | Zbl

[13] V. F. Kovalenko, Preprint ITF-72-37R, Institut teoreticheskoi fiziki AN USSR, 1972

[14] V. F. Kovalenko, Preprint ITF-72-39R, Institut teoreticheskoi fiziki AN USSR, 1972