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Theoretical and Mathematical Physics

, Volume 78, Issue 2, pp 177–184 | Cite as

Scalar models of p-adic quantum field theory and hierarchical models

  • É. Yu. Lerner
  • M. D. Missarov
Article

Keywords

Field Theory Hierarchical Model Scalar Model 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Literature Cited

  1. 1.
    P. M. Bleher and Ya. G. Sinai, Commun. Math. Phys.,33, 23 (1973).Google Scholar
  2. 2.
    P. M. Blekher, Tr. Mosk. Mat. Ob-va,33, 155 (1976).Google Scholar
  3. 3.
    Ya. G. Sinai, Theory of Phase Transitions [in Russian], Nauka, Moscow (1980).Google Scholar
  4. 4.
    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).Google Scholar
  5. 5.
    K. Gawedski and A. Kupiainen, Commun. Math. Phys.,99, 197 (1985).Google Scholar
  6. 6.
    N. N. Bogolyubov and D. V. Shirkov, Introduction to the Theory of Quantized Fields, 3rd ed., Wiley, New York (1980).Google Scholar
  7. 7.
    K. G. Wilson and J. Kogut, “The renormalization group and the ɛ expansion,” Phys. Rep. Phys. Lett. C,12, No. 2, 75 (1974).Google Scholar
  8. 8.
    P. M. Bleher and M. D. Missarov, Commun. Math. Phys.,74, 255 (1980).Google Scholar
  9. 9.
    P. M. Bleher, Commun. Math. Phys.,84, 557 (1982).Google Scholar
  10. 10.
    J. P. Serre, Course of Arithmetic [Russian translation], Mir, Moscow (1972).Google Scholar
  11. 11.
    I. M. Gel'fand, M. I. Graev, and I. I. Pyatetskii-Shapiro, Representation Theory and Automorphic Functions [in Russian], Nauka, Moscow (1966).Google Scholar
  12. 12.
    V. S. Vladimirov and I. V. Volovich, Teor. Mat. Fiz.,59, 3 (1984).Google Scholar
  13. 13.
    I. V. Volovich, Usp. Mat. Nauk,42, 129 (1987).Google Scholar
  14. 14.
    I. V. Volovich, Teor. Mat. Fiz.,71, 337 (1987).Google Scholar

Copyright information

© Plenum Publishing Corporation 1989

Authors and Affiliations

  • É. Yu. Lerner
  • M. D. Missarov

There are no affiliations available

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