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

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.

[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