Geodesic
Propagation of waves in a randomly inhomogeneous medium with strongly developed fluctuations. III. Arbitrary power-law noise correlation function
Teoretičeskaâ i matematičeskaâ fizika, Tome 74 (1988) no. 3, pp. 360-372 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

The investigation of the infrared behavior of the propagator of a light wave in a randomly inhomogeneous medium with massless Gaussian noise is continued. The infrared representation of the propagator proposed in [1] for correlation function $D_\varphi(k)\sim k^{-2}$ is generalized to the case of an arbitrary power-law noise correlation function and is rigorously established in the first two orders of the infrared asymptotic behavior by construction of a suitable $R$ operation. As a consequence, the results of [1] are generalized to the case of critical opalescence, when $D_\varphi(k)\sim k^{-2+\eta}$, where $\eta\approx0,03$ is the Fisher index. 
@article{TMF_1988_74_3_a3,
     author = {L. Ts. Adzhemyan and A. N. Vasil'ev and Yu. M. Pis'mak},
     title = {Propagation of waves in a~randomly inhomogeneous medium with strongly developed fluctuations. {III.~Arbitrary} power-law noise correlation function},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {360--372},
     year = {1988},
     volume = {74},
     number = {3},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1988_74_3_a3/}
}
TY  - JOUR
AU  - L. Ts. Adzhemyan
AU  - A. N. Vasil'ev
AU  - Yu. M. Pis'mak
TI  - Propagation of waves in a randomly inhomogeneous medium with strongly developed fluctuations. III. Arbitrary power-law noise correlation function
JO  - Teoretičeskaâ i matematičeskaâ fizika
PY  - 1988
SP  - 360
EP  - 372
VL  - 74
IS  - 3
UR  - http://geodesic.mathdoc.fr/item/TMF_1988_74_3_a3/
LA  - ru
ID  - TMF_1988_74_3_a3
ER  - 
%0 Journal Article
%A L. Ts. Adzhemyan
%A A. N. Vasil'ev
%A Yu. M. Pis'mak
%T Propagation of waves in a randomly inhomogeneous medium with strongly developed fluctuations. III. Arbitrary power-law noise correlation function
%J Teoretičeskaâ i matematičeskaâ fizika
%D 1988
%P 360-372
%V 74
%N 3
%U http://geodesic.mathdoc.fr/item/TMF_1988_74_3_a3/
%G ru
%F TMF_1988_74_3_a3
L. Ts. Adzhemyan; A. N. Vasil'ev; Yu. M. Pis'mak. Propagation of waves in a randomly inhomogeneous medium with strongly developed fluctuations. III. Arbitrary power-law noise correlation function. Teoretičeskaâ i matematičeskaâ fizika, Tome 74 (1988) no. 3, pp. 360-372. http://geodesic.mathdoc.fr/item/TMF_1988_74_3_a3/

[1] Adzhemyan L. Ts. i dr., TMF, 68:3 (1986), 323–337

[2] Adzhemyan L. Ts. i dr., TMF, 68:2 (1986), 198–209

[3] Bogolyubov N. N., Shirkov D. V., Vvedenie v teoriyu kvantovannykh polei, Nauka, M., 1976 | MR

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

[5] 't Hooft G., Nucl. Phys., B61 (1973), 455–460 | DOI