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Lattice approximation in the stochastic quantization of (φ4)2 fields1

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Stochastic Partial Differential Equations and Applications II

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 1390))

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References

  1. P. Billingsley. Convergence of Probability Measures; (John Wiley & Sons, New York, 1968).

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  2. V. S. Borkar, R. T. Chari and S. K. Mitter. "Stochastic quantization of field theory in finite and infinite volume." To appear in J. Funct. Anal.

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  3. M. Fukushima and D. W. Stroock. "Reversibility of solutions to martingale problems." To appear in Séminaires de Probabilités, Strasbourg.

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  4. J. Glimm and A. Jaffe. Quantum Physics: A Functional Integral Point of View, 2nd. ed.; (Springer-Verlag, 1987).

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  5. N. Ikeda and S. Watanabe. Stochastic Differential Equations and Diffusion Processes; (North-Holland Publishing Company / Kodansha, 1981).

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  6. G. Jona-Lasinio and P. K. Mitter. "On the stochastic quantization of field theory"; Comm. Math. Phys., 101 (1985), 409–436.

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  7. I. Mitoma. "Tightness of probabilities in C([0,1], ζ'), D([0,1], ζ')"; Annals of Prob., 11 (1983), 989–999.

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Author information

Authors and Affiliations

  1. Tata Institute for Fundamental Research (TIFR), P. O. Box 1234, Bangalore, India

    Vivek S. Borkar

  2. Department of Electrical Engineering and Computer Science Laboratory for Information and Decision Systems (LIDS) Center for Intelligent Control Systems, Massachusetts Institute of Technology, 02139, Cambridge, MA, U.S.A.

    Sanjoy K. Mitter

Authors
  1. Vivek S. Borkar
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  2. Sanjoy K. Mitter
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Giuseppe Da Prato Luciano Tubaro

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© 1989 Springer-Verlag

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Borkar, V.S., Mitter, S.K. (1989). Lattice approximation in the stochastic quantization of (φ4)2 fields1 . In: Da Prato, G., Tubaro, L. (eds) Stochastic Partial Differential Equations and Applications II. Lecture Notes in Mathematics, vol 1390. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0083933

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  • DOI: https://doi.org/10.1007/BFb0083933

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-51510-4

  • Online ISBN: 978-3-540-48200-0

  • eBook Packages: Springer Book Archive

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