Geodesic
A constructive approach to the quantum $(ch\varphi)_2$-model. I. The Gelfand--Levitan--Marcfaenko equations.method
Zapiski Nauchnykh Seminarov POMI, Differential geometry, Lie groups and mechanics. Part VII, Tome 146 (1985), pp. 147-190

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

Starting-from the quantum Gelfand–Levitan equations the quantum fields $\varphi_1$, and $\varphi_2$ are constructed which are the quantum analogs of $ch\varphi(x)$ and $sh\varphi(x)$ in the classical Sh-Gordon model. Wightman axioms including locality $PT$-invariance and asymptotic are completeness verified, and the scattering operator is calculated explicitly. In the developed approach no cut-offs are used and so renormalization effects do not appear. Bibl. – 15. 
@article{ZNSL_1985_146_a9,
     author = {I. M. Khamitov},
     title = {A constructive approach to the quantum $(ch\varphi)_2$-model. {I.} {The} {Gelfand--Levitan--Marcfaenko} equations.method},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {147--190},
     publisher = {mathdoc},
     volume = {146},
     year = {1985},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_1985_146_a9/}
}
TY  - JOUR
AU  - I. M. Khamitov
TI  - A constructive approach to the quantum $(ch\varphi)_2$-model. I. The Gelfand--Levitan--Marcfaenko equations.method
JO  - Zapiski Nauchnykh Seminarov POMI
PY  - 1985
SP  - 147
EP  - 190
VL  - 146
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/ZNSL_1985_146_a9/
LA  - ru
ID  - ZNSL_1985_146_a9
ER  - 
%0 Journal Article
%A I. M. Khamitov
%T A constructive approach to the quantum $(ch\varphi)_2$-model. I. The Gelfand--Levitan--Marcfaenko equations.method
%J Zapiski Nauchnykh Seminarov POMI
%D 1985
%P 147-190
%V 146
%I mathdoc
%U http://geodesic.mathdoc.fr/item/ZNSL_1985_146_a9/
%G ru
%F ZNSL_1985_146_a9
I. M. Khamitov. A constructive approach to the quantum $(ch\varphi)_2$-model. I. The Gelfand--Levitan--Marcfaenko equations.method. Zapiski Nauchnykh Seminarov POMI, Differential geometry, Lie groups and mechanics. Part VII, Tome 146 (1985), pp. 147-190. http://geodesic.mathdoc.fr/item/ZNSL_1985_146_a9/