Propagation of waves in a~randomly inhomogeneous medium with strongly developed fluctuations. I.~Renormalization group and $4-\varepsilon$-expansion
Teoretičeskaâ i matematičeskaâ fizika, Tome 68 (1986) no. 2, pp. 198-209
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The standard quantum-field technique of the renormalization group and
$4-\varepsilon$-expansions is applied to the problem of wave propagation in a randomly inhomogeneous medium. In the framework of the $4-\varepsilon$-expansion it is shown that for the dimensionless charge which characterizes the interaction with the noise field there exists an infrared-stable fixed point, all anomalous dimensions being expressible at this point in terms
of known static exponents. However, analysis of the actual values of the
parameters shows that the regime of critical scaling is not attained in
real three-dimensional problems.
@article{TMF_1986_68_2_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. {I.~Renormalization} group and $4-\varepsilon$-expansion},
journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
pages = {198--209},
publisher = {mathdoc},
volume = {68},
number = {2},
year = {1986},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TMF_1986_68_2_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. I.~Renormalization group and $4-\varepsilon$-expansion JO - Teoretičeskaâ i matematičeskaâ fizika PY - 1986 SP - 198 EP - 209 VL - 68 IS - 2 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/TMF_1986_68_2_a3/ LA - ru ID - TMF_1986_68_2_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. I.~Renormalization group and $4-\varepsilon$-expansion %J Teoretičeskaâ i matematičeskaâ fizika %D 1986 %P 198-209 %V 68 %N 2 %I mathdoc %U http://geodesic.mathdoc.fr/item/TMF_1986_68_2_a3/ %G ru %F TMF_1986_68_2_a3
L. Ts. Adzhemyan; A. N. Vasil'ev; Yu. M. Pis'mak. Propagation of waves in a~randomly inhomogeneous medium with strongly developed fluctuations. I.~Renormalization group and $4-\varepsilon$-expansion. Teoretičeskaâ i matematičeskaâ fizika, Tome 68 (1986) no. 2, pp. 198-209. http://geodesic.mathdoc.fr/item/TMF_1986_68_2_a3/