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Functional Integration, Zeta Regularization, and Correlators of the Third Components of Spins in the Heisenberg XX0 Model

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Abstract

A new representation for the generating function of static correlators of the third components of spins in the XX0 Heisenberg model is suggested in the form of the Gaussian functional integral. The generating function, as well as the partition function of the model, are calculated by means of the zeta regularization procedure. Formulas for some correlation functions at nonzero temperature are obtained. Bibliography: 27 titles.

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  1. St.Petersburg Department of the, Steklov Mathematical Institute, Russia

    K. Malyshev

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  1. K. Malyshev
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Malyshev, K. Functional Integration, Zeta Regularization, and Correlators of the Third Components of Spins in the Heisenberg XX0 Model. Journal of Mathematical Sciences 115, 2037–2048 (2003). https://doi.org/10.1023/A:1022660115212

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