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Construction of a one-dimensional quantum field by means of a continuous Markov field. (English. Russian original) Zbl 0294.60081

Funct. Anal. Appl. 7, 324-325 (1974); translation from Funkts. Anal. Prilozh. 7, No. 4, 81-82 (1973).

MSC:

60K35 Interacting random processes; statistical mechanics type models; percolation theory
46F99 Distributions, generalized functions, distribution spaces
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References:

[1] J. Glimm and A. Jaffe, in: Mathematics of Contemporary Physics, Academic Press (1973).
[2] E. Nelson, ”Construction of quantum fields from Markov fields,” Preprint (1973). · Zbl 0252.60053
[3] R. F. Streater and A. S. Wightman, P.C.T., Spin, Statistics and All That, Benjamin, New York (1964). · Zbl 0135.44305
[4] O. Lanford and D. Ruelle, Commun. Math. Phys.,13, 194-215 (1968). · doi:10.1007/BF01645487
[5] R. L. Dobrushin, Funktsional’. Analiz i Ego Prilozheniya,2, No. 4, 31-43 (1968).
[6] R. L. Dobrushin, Teor. i Matem. Fiz.,4, No. 1, 101-118 (1970).
[7] I. M. Gikhman and A. V. Skorokhod, Theory of Random Processes [in Russian], Vol. I, Nauka, Moscow (1971). · Zbl 0132.37902
[8] K. Ito, Japan J. Math.,22, 63-86 (1952).
[9] K. Osterwalder and R. Schrader, ”Axioms for Euclidean Green’s functions,” Preprint (1973). · Zbl 0274.46047
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