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A central limit theorem for lattice gauge gibbs random fields

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References

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  2. Dobrushin, R.L. and Tirozzi, B. The Central Limit Theorem and the Problem of Equivalence of Ensembles.Commun. Math. Phys., 1977, (54): 173–184.

  3. Janson, S. Normal Convergence by Higher Semi-invariants with Applications to Sums of Dependent Random Variables on Random Graphs.Annals Probab., 1988, (16): 305–312.

  4. Nahapetian, B.S. Limit Theorems and Statistical Mechanics. in Fritz J. et al. eds. Random Fields, Vol 2, 799–820, North-Holland, 1979.

  5. Seiler, E. Gauge Theories as a Problem of Constructive Quantum Field Theory and Statistical Mechanicsa. Lect. Notes. Phys., Vol. 159, Speinger-Verlag, 1982.

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This work is supported by the National Natural Science Foundations of China.

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Chen, D. A central limit theorem for lattice gauge gibbs random fields. Acta Mathematicae Applicatae Sinica 10, 223–224 (1994). https://doi.org/10.1007/BF02006122

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  • DOI: https://doi.org/10.1007/BF02006122

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