Breaking of scale invariance and behavior of the spectral function in the Jost--Lehmann--Dyson representation
Teoretičeskaâ i matematičeskaâ fizika, Tome 39 (1979) no. 1, pp. 35-47
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A calculation is made of the behavior of the spectral function $\psi(|\mathbf u|, \lambda^2)$ of the Jost–Lehmann–Dysen representation as $\lambda^2\to\infty$ and $|\mathbf u|\to0$ in the ladder $\varphi^3$ and $\varphi^4$
models. It is shown that in the case of the q 4 model, for which scale invarianee is
broken, the spectral function does not factorize with respect to the variables as
$\lambda^2\to\infty$ and that its growth with respect to $\lambda^2$ depends essentially on $|\mathbf u|$.
@article{TMF_1979_39_1_a3,
author = {A. V. Kiselev and M. A. Mestvirishvili and V. E. Rochev},
title = {Breaking of scale invariance and behavior of the spectral function in the {Jost--Lehmann--Dyson} representation},
journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
pages = {35--47},
publisher = {mathdoc},
volume = {39},
number = {1},
year = {1979},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TMF_1979_39_1_a3/}
}
TY - JOUR AU - A. V. Kiselev AU - M. A. Mestvirishvili AU - V. E. Rochev TI - Breaking of scale invariance and behavior of the spectral function in the Jost--Lehmann--Dyson representation JO - Teoretičeskaâ i matematičeskaâ fizika PY - 1979 SP - 35 EP - 47 VL - 39 IS - 1 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/TMF_1979_39_1_a3/ LA - ru ID - TMF_1979_39_1_a3 ER -
%0 Journal Article %A A. V. Kiselev %A M. A. Mestvirishvili %A V. E. Rochev %T Breaking of scale invariance and behavior of the spectral function in the Jost--Lehmann--Dyson representation %J Teoretičeskaâ i matematičeskaâ fizika %D 1979 %P 35-47 %V 39 %N 1 %I mathdoc %U http://geodesic.mathdoc.fr/item/TMF_1979_39_1_a3/ %G ru %F TMF_1979_39_1_a3
A. V. Kiselev; M. A. Mestvirishvili; V. E. Rochev. Breaking of scale invariance and behavior of the spectral function in the Jost--Lehmann--Dyson representation. Teoretičeskaâ i matematičeskaâ fizika, Tome 39 (1979) no. 1, pp. 35-47. http://geodesic.mathdoc.fr/item/TMF_1979_39_1_a3/