Volume Effects in Discrete beta functions

Details Volume Effects in Discrete beta functions Volume Effects in Discrete beta functions

2011-12-14

arxiv.org/abs/1112.3119v1

Physics

High Energy Physics

High Energy Physics - Lattice

7 pages, talk given at the XXIX International Symposium on Lattice Field Theory (Lattice 2011), July 10-16, 2011, Squaw Valley

Scientific paper

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.

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