Convergence of the Stochastic Quantization Method I

Abstract

Next article Convergence of the Stochastic Quantization Method II. A. Ignatyuk, V. A. Malyshev, and V. SidoravichiusI. A. Ignatyuk, V. A. Malyshev, and V. Sidoravichiushttps://doi.org/10.1137/1137054PDFBibTexSections ToolsAdd to favoritesExport CitationTrack CitationsEmail SectionsAbout[1] I. I. Gikhman and , A. V. Skorokhod, Stochastic Differential Equations, Nauka, Moscow, 1984, (In Russian.) Google Scholar[2] R. L. Dobrushin, The description of a random field by means of conditional probabilities and conditions of its regularity, Theory Probab. Appl., 13 (1968), 197–224 10.1137/1113026 LinkGoogle Scholar[3] N. V. Krylov and , B. L. Brozovskii, On evolution stochastic equationsModern Problems of Mathematics (J. Soviet mathem.), Itogi Nauki i Tekhniki, Vol. 14, VINITI, Moscow, 1979, 71–146, (In Russian.) Google Scholar[4] V. A. Malyshev and , R. A. Minlos, Gibbs Random Fields, Nauka, Moscow, 1985, (In Russian.) Google Scholar[5] V. A. Malyshev, Ultraviolet problems in field theory and multiscale expansionsProbability theory. Mathematical statistics. Theoretical cybernetics, Vol. 24 (Russian), Itogi Nauki i Tekhniki, Akad. Nauk SSSR Vsesoyuz. Inst. Nauchn. i Tekhn. Inform., Moscow, 1986, 111–186, i, (In Russian.) 88a:81105 0666.60107 Google Scholar[6] A. A Migdal, Stochastic quantization of the field theory, Russian Mathem. Surveys, 149 (1986), 3–44, (In Russian.) Google Scholar[7] G. Parisi and , X.-S. Wu, Perturbation theory without gauge fixing, Sci. Sinica, 24 (1981), 483–496 82k:81075 Google Scholar[8] Luigi Accardi, , Alberto Frigerio and , John T. Lewis, Quantum stochastic processes, Publ. Res. Inst. Math. Sci., 18 (1982), 97–133 84m:82031 0498.60099 CrossrefGoogle Scholar[9] R. L. Hudson and , K. R. Parthasarathy, Construction of quantum diffusionsQuantum probability and applications to the quantum theory of irreversible processes (Villa Mondragone, 1982), Lecture Notes in Math., Vol. 1055, Springer, Berlin, 1984, 173–198, Heidelberg 86h:81037 0542.60053 CrossrefGoogle Scholar Next article FiguresRelatedReferencesCited byDetails Propagation of Gibbsianness for Infinite-dimensional Gradient Brownian DiffusionsJournal of Statistical Physics, Vol. 121, No. 3-4 Cross Ref Infinite-dimensional analysis and quantum theory as semimartingale calculus17 October 2007 | Russian Mathematical Surveys, Vol. 49, No. 3 Cross Ref Marginally closed processes with local interactionStochastic Processes and their Applications, Vol. 43, No. 1 Cross Ref Volume 37, Issue 2| 1993Theory of Probability & Its Applications History Submitted:30 January 1990Published online:28 July 2006 InformationCopyright © 1993 © Society for Industrial and Applied MathematicsPDF Download Article & Publication DataArticle DOI:10.1137/1137054Article page range:pp. 209-221ISSN (print):0040-585XISSN (online):1095-7219Publisher:Society for Industrial and Applied Mathematics