Solution of quantum Gel'fand–Levitan–Marchenko equations for the sine-Gordon model with $\gamma=\pi/\nu$
Teoretičeskaâ i matematičeskaâ fizika, Tome 71 (1987) no. 3, pp. 341-350
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General solution of quantum Gelfand–Levitan–Marchenko equations for sine-Gordon model with $\gamma=\pi/\nu$ ($\nu$ being integer) is obtained. Matrix elements of operators $ехр(\pm i\sqrt{2\gamma}\times u(x_0, x_1))$ between the vacuum and arbitrary state are calculated. The series for two-point Green functions are obtained. The coincidence with the case of free massive Fermi field for $\gamma=\pi/2$ is verified. The possibility of obtaining similar formulas for other local operators is discussed.
@article{TMF_1987_71_3_a3,
author = {F. A. Smirnov},
title = {Solution of quantum {Gel'fand{\textendash}Levitan{\textendash}Marchenko} equations for the {sine-Gordon} model with $\gamma=\pi/\nu$},
journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
pages = {341--350},
year = {1987},
volume = {71},
number = {3},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TMF_1987_71_3_a3/}
}
TY - JOUR AU - F. A. Smirnov TI - Solution of quantum Gel'fand–Levitan–Marchenko equations for the sine-Gordon model with $\gamma=\pi/\nu$ JO - Teoretičeskaâ i matematičeskaâ fizika PY - 1987 SP - 341 EP - 350 VL - 71 IS - 3 UR - http://geodesic.mathdoc.fr/item/TMF_1987_71_3_a3/ LA - ru ID - TMF_1987_71_3_a3 ER -
F. A. Smirnov. Solution of quantum Gel'fand–Levitan–Marchenko equations for the sine-Gordon model with $\gamma=\pi/\nu$. Teoretičeskaâ i matematičeskaâ fizika, Tome 71 (1987) no. 3, pp. 341-350. http://geodesic.mathdoc.fr/item/TMF_1987_71_3_a3/
[1] Smirnov F. A., TMF, 60:3 (1984), 356–371 | MR
[2] Smirnov F. A., J. Phys. A, 17 (1984), L873–878 | DOI | MR
[3] Smirnov F. A., TMF, 67:1 (1986), 40–51 | MR
[4] Coleman S., Phys. Rev., D11:8 (1975), 2088–2097
[5] Lehmann H., Stehr J., The Bose-field structure associated with the free massive Dirac field in one space dimension, DESY preprint 76/29, DESY, Hamburg, 1976