This article may be too technical for most readers to understand. Please help improve ittomake it understandable to non-experts, without removing the technical details. (October 2023) (Learn how and when to remove this message)
|
Inmathematical physics and mathematics, the continuum limitorscaling limit of a lattice model characterizes its behaviour in the limit as the lattice spacing goes to zero. It is often useful to use lattice models to approximate real-world processes, such as Brownian motion. Indeed, according to Donsker's theorem, the discrete random walk would, in the scaling limit, approach the true Brownian motion.
The term continuum limit mostly finds use in the physical sciences, often in reference to models of aspects of quantum physics, while the term scaling limit is more common in mathematical use.
This section does not cite any sources. Please help improve this sectionbyadding citations to reliable sources. Unsourced material may be challenged and removed. (December 2022) (Learn how and when to remove this message)
|
A lattice model that approximates a continuum quantum field theory in the limit as the lattice spacing goes to zero may correspond to finding a second order phase transition of the model. This is the scaling limit of the model.
This quantum mechanics-related article is a stub. You can help Wikipedia by expanding it. |
This article about lattice models is a stub. You can help Wikipedia by expanding it. |