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
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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{\textendash}Levitan{\textendash}Marcfaenko} equations.method},
journal = {Zapiski Nauchnykh Seminarov POMI},
pages = {147--190},
year = {1985},
volume = {146},
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 UR - http://geodesic.mathdoc.fr/item/ZNSL_1985_146_a9/ LA - ru ID - ZNSL_1985_146_a9 ER -
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/