Revision as of 23:55, 7 February 2022 edit ChromeGames (talk \| contribs) Extended confirmed users, Pending changes reviewers 10,062 edits m Changing short description from "Correlation as a function of spatial or temporal distance" to "Correlation as a function of distance" (Shortdesc helper) ← Previous edit		Revision as of 23:48, 29 April 2022 edit undo Hellacioussatyr (talk \| contribs) Extended confirmed users 10,150 edits →Properties of probability distributions Tags: Mobile edit Mobile web edit Advanced mobile edit Next edit →
Line 33: Probability distributions defined on a finite number of points can always be normalized, but when these are defined over continuous spaces, then extra care is called for. The study of such distributions started with the study of [[random walk]]s and led to the notion of the [[Itō calculus]]. The Feynman [[path integral formulation\|path integral]] in Euclidean space generalizes this to other problems of interest to [[statistical mechanics]]. Any probability distribution which obeys a condition on correlation functions called [[reflection positivity]] leads to a local [[quantum field theory]] after [[Wick rotation]] to [[Minkowski spacetime]] ( see [[Osterwalder-Schrader axioms]] ). The operation of [[renormalization]] is a specified set of mappings from the space of probability distributions to itself. A [[quantum field theory]] is called renormalizable if this mapping has a fixed point which gives a quantum field theory. ==See also==

Correlation function: Difference between revisions