Stochastic equations for some Euclidean fields

Conference paper
Part of the Lecture Notes in Mathematics book series (LNM, volume 1250)

Keywords

Brownian Motion Topological Charge Functional Measure Stochastic Equation Euclidean Group 
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References

  1. [1]
    N. Ikeda and S. Watanabe, Stochastic Differential Equations and Diffusion Processes, North Holland, 1981 K.D. Elworthy, Stochastic Differential Equations on Manifolds, Cambridge Univ. 1981Google Scholar
  2. [2]
    F. Gürsey and H.C. Tze, Ann. Phys. 128, 29 (1980)CrossRefGoogle Scholar
  3. [3]
    M. van den Berg and J.T. Lewis, Bull. Lond. Math. Soc. 17. 144 (1985)CrossRefGoogle Scholar
  4. [4]
    A.M. Perelomov, Physica 4D, 1 (1981)MathSciNetGoogle Scholar
  5. [5]
    E. Nelson, Journ Funct. Anal. 12, 97 (1973)CrossRefGoogle Scholar
  6. [6]
    E. Nelson, these ProceedingsGoogle Scholar
  7. [7]
    Z. Haba, Journ. Phys. A18, L347 (1985)Google Scholar
  8. [8]
    E. Seiler, Acta Phys. Austr., Supp. XXVI, p. 259, 1984Google Scholar
  9. [9]
    Z. Haba, Journ. Phys. A18, 1641 (1985)MathSciNetGoogle Scholar
  10. [10]
    G. Jona-Lasinio, these ProceedingsGoogle Scholar
  11. [11]
    Z. Haba, BiBoS preprint Nr. 18, 1985Google Scholar
  12. [12]
    L. Gross, Tran. Amer. Math. Soc. 94, 404 (1960)CrossRefGoogle Scholar
  13. [13]
    G. Parisi and N. Sourlas, Nucl. Phys. B206, 321 (1982)MathSciNetCrossRefGoogle Scholar
  14. [13]a
    S. Cecotti and L. Girardello, Ann. Phys. 145, 81 (1983)MathSciNetCrossRefGoogle Scholar
  15. [14]
    S. Albeverio and R. Høegh-Krohn, in Stochastic Analysis and Applications, M. Pinsky, Ed., p. 1, 1984Google Scholar
  16. [14]a
    S. Albeverio, R. Høegh-Krohn and H. Holden, Acta Phys. Austr. Supp. XXVI, p. 211 (1984)Google Scholar
  17. [15]
    H. Holden, these ProceedingsGoogle Scholar
  18. [16]
    S. Mandelstam, Ann. Phys. 19, 1 (1962)MathSciNetCrossRefGoogle Scholar
  19. [16]a
    I. Bialynicki-Birula, Bull. l’Acad. Pol. Sci. 11, 135 (1963)MathSciNetGoogle Scholar
  20. [17]
    J. Lukierski, in Field Theoretical Methods in Particle Physics, W. Rühl, Ed., 1980Google Scholar
  21. [18]
    O. Babelon and C.M. Viallet, Phys. Lett. 85B, 246 (1979)MathSciNetCrossRefGoogle Scholar
  22. [18]a
    I.M. Singer, Physica Scripta 24, 817 (1981)MathSciNetCrossRefGoogle Scholar
  23. [19]
    Z. Haba, BiBoS preprint No.58, 1985Google Scholar
  24. [20]
    H. Nicolai, Phys. Lett. 117B, 408 (1982)MathSciNetCrossRefGoogle Scholar
  25. [21]
    M. Asorey and P.K. Mitter, Comm. Math. Phys. 80, 43 (1981)MathSciNetCrossRefGoogle Scholar
  26. [22]
    B. Gaveau and P. Trauber, Journ. Funct. Anal. 38, 324 (1980)MathSciNetCrossRefGoogle Scholar
  27. [23]
    S. Albeverio and R. Høegh-Krohn, Z. Wahr. verw. Gebiete 40, 1 (1977)CrossRefGoogle Scholar
  28. [24]
    C.N. Yang, Phys. Rev. Lett. 38, 1377 (1977)MathSciNetCrossRefGoogle Scholar
  29. [25]
    C.H. Taubes, Comm. Math. Phys. 75, 207 (1980)MathSciNetCrossRefGoogle Scholar

Copyright information

© Springer-Verlag 1987

Authors and Affiliations

  • Z. Haba
    • 1
    • 2
  1. 1.Research Center Bielefeld-Bochum-StochasticsBielefeld UniversityBielefeld 1FRG
  2. 2.Institute of Theoretical PhysicsUniversity of WroclawPoland

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