Abstract
We derive a theorem of exponential decay of correlation functions at high temperature for a general statistical mechanical system following the approach introduced by L. Gross. The theorem is formulated so as to be useful for locality problems in lattice quantum gravity.
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Lehto, M., Nielsen, H.B., Ninomiya, M.: In preparation
Regge, T.: General relativity without coordinates. Nuovo Cimento19, 558 (1961)
Gross, L.: Decay of correlations in classical lattice models at high temperature. Commun. Math. Phys.68, 9 (1979)
Israel, R.B.: High-temperature analyticity in classical lattice systems. Commun. Math. Phys.50, 245 (1976)
Klein, D.: Dobrushin uniqueness techniques and the decay of correlations in continuum statistical mechanics. Commun. Math. Phys.86, 227 (1982)
Dobrushin, R.L.: The description of a random field by means of conditional probabilities and conditions on its regularity. Theor. Prob. Appl.13, 197 (1968)
Kelley, J.L.: General topology. New York: Van Nostrand 1955
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Communicated by G. Mack
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Lehto, M., Nielsen, H.B. & Ninomiya, M. A correlation decay theorem at high temperature. Commun.Math. Phys. 93, 483–493 (1984). https://doi.org/10.1007/BF01212291
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DOI: https://doi.org/10.1007/BF01212291