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Green functions of the anisotropic Heisenberg model

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Abstract

The Green functions of the anisotropic Heisenberg model are studied by a method which was applied previously to the reduced density matrices. Integral equations are used to prove the existence of the infinite volume limit of the Green functions, and some analyticity properties with respect to the fugacity (or magnetic field), the potentials, and the complex times.

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References

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Authors and Affiliations

  1. Department of Physics, New York University, USA

    J. Ginibre

  2. Palmer Physical Laboratory, Princeton University, USA

    J. Ginibre & C. Gruber

Authors
  1. J. Ginibre
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  2. C. Gruber
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Research supported by the National Science Foundation.

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Ginibre, J., Gruber, C. Green functions of the anisotropic Heisenberg model. Commun.Math. Phys. 11, 198–213 (1969). https://doi.org/10.1007/BF01645806

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  • DOI: https://doi.org/10.1007/BF01645806

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