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On the scaling limit of the Ising model

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Il Nuovo Cimento A (1965-1970)

Summary

We verify explicitly the positive-definiteness property of the two-point correlations of the bidimensional Ising model in the scaling limit atTT c. In the scaling limit atT=T c we give a representation of the aligned correlations in terms of Gaussian expectation values of exponentials of free fields.

Riassunto

Si verificano esplicitamente le positività delle funzioni di correlazione a due punti del modello di Ising bidimensionale nel limite di scala aTT c. Si dà inoltre una rappresentazione in termini di campi liberi del limite di scala aT=T c delle correlazioni di spin allineati.

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To speed up publication, the author of this paper has agreed to not receive the proofs for correction.

Research partially supported by a NATO fellowship and National Science Foundation under Grant PHY-77-18762.

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Nappi, C.R. On the scaling limit of the Ising model. Nuov Cim A 44, 392–400 (1978). https://doi.org/10.1007/BF02812980

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  • DOI: https://doi.org/10.1007/BF02812980

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