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The infinite-range quantum Ising spin glass in transverse (Γ) and longitudinal (h) fields is studied by means of thermo-field-dynamics as a substitute for the n-replica trick. With the use of a one-loop approximation for the dynamic self-interaction the stability of the mean-field-type solution against the action of fluctuations is investigated in the parameter space (kBT, Γ, h).
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Kopeć et al. (1989) studied this question.
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