Literature Cited
P. M. Bleher and Ya. G. Sinai, Commun. Math. Phys.,33, 23 (1973).
P. M. Blekher, Tr. Mosk. Mat. Ob-va,33, 155 (1976).
Ya. G. Sinai, Theory of Phase Transitions [in Russian], Nauka, Moscow (1980).
P. Collet and J.-P. Eckmann, A Renormalization Group Analysis of the Hierarchical Model in Statistical Mechanics, in: Lect. Notes in Phys, Vol. 74, Springer Verlag, Berlin (1978).
K. Gawedski and A. Kupiainen, Commun. Math. Phys.,99, 197 (1985).
N. N. Bogolyubov and D. V. Shirkov, Introduction to the Theory of Quantized Fields, 3rd ed., Wiley, New York (1980).
K. G. Wilson and J. Kogut, “The renormalization group and the ɛ expansion,” Phys. Rep. Phys. Lett. C,12, No. 2, 75 (1974).
P. M. Bleher and M. D. Missarov, Commun. Math. Phys.,74, 255 (1980).
P. M. Bleher, Commun. Math. Phys.,84, 557 (1982).
J. P. Serre, Course of Arithmetic [Russian translation], Mir, Moscow (1972).
I. M. Gel'fand, M. I. Graev, and I. I. Pyatetskii-Shapiro, Representation Theory and Automorphic Functions [in Russian], Nauka, Moscow (1966).
V. S. Vladimirov and I. V. Volovich, Teor. Mat. Fiz.,59, 3 (1984).
I. V. Volovich, Usp. Mat. Nauk,42, 129 (1987).
I. V. Volovich, Teor. Mat. Fiz.,71, 337 (1987).
Additional information
Kazan State University. Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 78, No. 2, pp. 248–257, February, 1989.
Rights and permissions
About this article
Cite this article
Lerner, É.Y., Missarov, M.D. Scalar models of p-adic quantum field theory and hierarchical models. Theor Math Phys 78, 177–184 (1989). https://doi.org/10.1007/BF01018683
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01018683