Geodesic
Invariant manifolds of the Wilson renormalization group
Teoretičeskaâ i matematičeskaâ fizika, Tome 74 (1988) no. 2, pp. 203-209 
P. M. Bleher; M. D. Missarov. Invariant manifolds of the Wilson renormalization group. Teoretičeskaâ i matematičeskaâ fizika, Tome 74 (1988) no. 2, pp. 203-209. http://geodesic.mathdoc.fr/item/TMF_1988_74_2_a4/
@article{TMF_1988_74_2_a4,
     author = {P. M. Bleher and M. D. Missarov},
     title = {Invariant manifolds of the {Wilson} renormalization group},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {203--209},
     year = {1988},
     volume = {74},
     number = {2},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1988_74_2_a4/}
}
TY  - JOUR
AU  - P. M. Bleher
AU  - M. D. Missarov
TI  - Invariant manifolds of the Wilson renormalization group
JO  - Teoretičeskaâ i matematičeskaâ fizika
PY  - 1988
SP  - 203
EP  - 209
VL  - 74
IS  - 2
UR  - http://geodesic.mathdoc.fr/item/TMF_1988_74_2_a4/
LA  - ru
ID  - TMF_1988_74_2_a4
ER  - 
%0 Journal Article
%A P. M. Bleher
%A M. D. Missarov
%T Invariant manifolds of the Wilson renormalization group
%J Teoretičeskaâ i matematičeskaâ fizika
%D 1988
%P 203-209
%V 74
%N 2
%U http://geodesic.mathdoc.fr/item/TMF_1988_74_2_a4/
%G ru
%F TMF_1988_74_2_a4

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

A manifold of Hamiltonians invariant with respect to action of the Wilson renormalization group is constructed. The equations of bifurcation in $4-d$ are written down, and their connection with the equations of the renormalization group in quantum field theory is discussed.

[1] Vilson K., Kogut D., Renormalizatsionnaya gruppa i $\varepsilon$-razlozhenie, Mir, M., 1975

[2] Sinai Ya. G., Teoriya fazovykh perekhodov, Nauka, M., 1980 | MR

[3] Amit D. J., Field theory, the renormalization group and critical phenomena, Mc Graw-Hill, N. Y., 1978 | MR

[4] Ma Sh. K., Sovremennaya teoriya kriticheskikh yavlenii, Mir, M., 1980

[5] Speer E., “Dimensional and analytic renormalization”, Renormalization theory, eds. G. Velo, A. S. Wightman, Reidel, Dordrecht, Holland, 1976 | MR

[6] Blekher P. M., TMF, 50:3 (1982), 370–382 | MR | Zbl

[7] Wilson K. G., Fisher M. E., Phys. Rev. Lett., 28:4 (1972), 240 | DOI

[8] Bleher P. M., Missarov M. D., Commun. Math. Phys., 74 (1980), 235–270 | DOI | MR

[9] Zavyalov O. I., Perenormirovannye diagrammy Feinmana, Nauka, M., 1979 | MR