Volume Effects in Discrete beta functions
Abstract
We calculate discrete beta functions corresponding to the two-lattice matching for the 2D O(N) models and Dyson's hierarchical model. We describe and explain finite-size effects such as the appearance of a nontrivial infrared fixed point that goes to infinity at infinite volume or the merging of an infrared and an ultraviolet fixed point. We present extensions of the RG flows to the complex coupling plane. We discuss the possibility of constructing a continuous beta function from the discrete one by using functional conjugation methods. We briefly discuss the relevance of these findings for the search of nontrivial fixed points in multiflavor lattice gauge theory models.
Keywords
Cite
@article{arxiv.1112.3119,
title = {Volume Effects in Discrete beta functions},
author = {Yuzhi Liu and Y. Meurice and Haiyuan Zou},
journal= {arXiv preprint arXiv:1112.3119},
year = {2014}
}
Comments
7 pages, talk given at the XXIX International Symposium on Lattice Field Theory (Lattice 2011), July 10-16, 2011, Squaw Valley, Lake Tahoe, California, USA