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Mean-field limits of the quantum Potts model

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Abstract

We consider theq-component quantum Potts model on ad-dimensional cubic lattice with symmetry breaking and transverse fields. The model is solved exactly in two special limiting cases: 1) the infinite lattice-dimensionality (d→∞) limit and 2) the limit of infinitely-weak, long-range interactions of Kac type. In each case the resulting free energy and its first partial derivatives (order parameters) are shown to be identical to the corresponding mean-field expressions.

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Authors and Affiliations

  1. Department of Theoretical Physics, Research School of Physical Sciences, The Australian National University, 2601, Canberra, A.C.T., Australia

    A. Cant & Paul A. Pearce

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  1. A. Cant
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  2. Paul A. Pearce
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Communicated by J. Fröhlich

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Cant, A., Pearce, P.A. Mean-field limits of the quantum Potts model. Commun.Math. Phys. 90, 373–387 (1983). https://doi.org/10.1007/BF01206888

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  • DOI: https://doi.org/10.1007/BF01206888

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