Geodesic
Method of two-time Green's functions in the Ising model with transverse field
Teoretičeskaâ i matematičeskaâ fizika, Tome 38 (1979) no. 3, pp. 388-398 
V. L. Aksenov; H. Konwent; Yu. Shraiber. Method of two-time Green's functions in the Ising model with transverse field. Teoretičeskaâ i matematičeskaâ fizika, Tome 38 (1979) no. 3, pp. 388-398. http://geodesic.mathdoc.fr/item/TMF_1979_38_3_a10/
@article{TMF_1979_38_3_a10,
     author = {V. L. Aksenov and H. Konwent and Yu. Shraiber},
     title = {Method of two-time {Green's} functions in the {Ising} model with transverse field},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {388--398},
     year = {1979},
     volume = {38},
     number = {3},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1979_38_3_a10/}
}
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Voir la notice de l'article provenant de la source Math-Net.Ru

Two-time Green's functions are used to develop a self-consistent approach to the calculation of the spectrum of collective excitations and the free energy in the Ising model with transverse field. Calculations are also made of all correlation functions with allowance for the singularity of their spectral intensity at zero frequency. The accuracy of the approximation is checked by means of kinematic sum rules. It is shown that the use of these sum rules to determine the order parameter leads to unphysical results.

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