Abstract
In Dobrushin’s setup of scale transformations with multiplicative renormalization for generalized random processes we study the Short- and long-distance behaviour of various processes, in particular of Wick-polynomials of Gaussian fields and of P(ф)2-models from constructive quantum field theory.
Talk presented at T. Hida’s Workshop on White Noise Approach to Quantum Dynamics.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Chung, K.L.: A course in probability theory, New York, Academic Press 1974.
Dobrushin, R.L.: Automodel generalized random fields and their renorm-group. In: Multicomponent Random Systems. Dekker, New York, to appear.
Dobrushin, R.L Ann. Prob. 7, 1–28 (1979)
Enss, V.: Rep. Math. Phys. V3, 87–99 (1978).
Enss, V.: Random processes converging to white noise, in preparation.
Gel’fand, I.M., Vilenkin, N.Ya.: Generalized functions Vol. IV, New York, Academic Press 1964.
Haba, Z.: Scale limit and low momentum behaviour of Eudli- dean fields II., preprint Bielefeld BI-TP 78/25.
Hida, T. Proc. Japan Acad. 54, SerA, 55–58 (1978).
Ibragimov I.A., Linnik, Yu.V.: Independent and stationary sequences of random variables, Groningen, Wolters-Noordhoff 1971.
Jona-Lasinio, G.: in “New developments in quantum field theory and Statistical mechanics - Cargese 1976”, M. Levy and P. Mitter ed., New York, Plenum 1977.
Karwowski, W., Streit, L.: Rep. Math. Phys 13, 1–12 (1978).
Velo, G., Wightman, A. ed.: Constructive quantum field theory, Lecture Notes in Physics 25, Berlin, Springer 1973.
Eckmann, J.P., Magnen, J., Seneor, R.: Commun. Math. Phys. 39, 251–271 (1975);
Glimm, J., Jaffe, A., Spencer, T.: Ann. Phys. (N.Y.) 101, 610–630, 631–669 (1976);
Fröhlich, J.: Adv. Math. 23, 119–180 (1977).
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1980 Springer-Verlag/Wien
About this paper
Cite this paper
Enss, V. (1980). Scaling Limits of Generalized Random Processes. In: Streit, L. (eds) Quantum Fields — Algebras, Processes. Springer, Vienna. https://doi.org/10.1007/978-3-7091-8598-8_8
Download citation
DOI: https://doi.org/10.1007/978-3-7091-8598-8_8
Publisher Name: Springer, Vienna
Print ISBN: 978-3-7091-8600-8
Online ISBN: 978-3-7091-8598-8
eBook Packages: Springer Book Archive