References
Borgs, C. Translation Symmetry Breaking in Four-dimensional Lattice Gauge Theories.Commun. Math. Phys., 1985, (96): 251–284.
Dobrushin, R.L. and Tirozzi, B. The Central Limit Theorem and the Problem of Equivalence of Ensembles.Commun. Math. Phys., 1977, (54): 173–184.
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.
Nahapetian, B.S. Limit Theorems and Statistical Mechanics. in Fritz J. et al. eds. Random Fields, Vol 2, 799–820, North-Holland, 1979.
Seiler, E. Gauge Theories as a Problem of Constructive Quantum Field Theory and Statistical Mechanicsa. Lect. Notes. Phys., Vol. 159, Speinger-Verlag, 1982.
Author information
Authors and Affiliations
Additional information
This work is supported by the National Natural Science Foundations of China.
Rights and permissions
About this article
Cite this article
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
Received:
Revised:
Issue Date:
DOI: https://doi.org/10.1007/BF02006122