Geodesic
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 
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/
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     title = {Breaking of scale invariance and behavior of the spectral function in the {Jost{\textendash}Lehmann{\textendash}Dyson} representation},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
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     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1979_39_1_a3/}
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Voir la notice de l'article provenant de la source Math-Net.Ru

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 $|\mathbf u|$.

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