Why Calculate in Infinite Dimensions?
arXiv:2210.06072
Abstract
A pedagogical introduction to solving classical and quantum many-body models in infinite spatial dimensions is given. The solution of the Hubbard model obtained in this limit is discussed in detail. It corresponds to a dynamical mean-field theory, which allows to compute the properties of correlated electrons in models and materials.
45 pages, 4 figures, 177 references. Lecture notes for the Autumn School on Correlated Electrons, Forschungszentrum Jülich, October 2022; published version with some changes in wording