Conference proceeding
Volume Effects in Discrete beta functions
Proceedings of XXIX International Symposium on Lattice Field Theory, Vol.139, p.246
The XXIX International Symposium on Lattice Field Theory, Lattice 2011 (Squaw Valley, Lake Tahoe, California, 07/10/2011 - 07/16/2011)
07/05/2012
DOI: 10.48550/arxiv.1112.3119
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.
Details
- Title: Subtitle
- Volume Effects in Discrete beta functions
- Creators
- Yuzhi LiuY MeuriceHaiyuan Zou
- Resource Type
- Conference proceeding
- Publication Details
- Proceedings of XXIX International Symposium on Lattice Field Theory, Vol.139, p.246
- Conference
- The XXIX International Symposium on Lattice Field Theory, Lattice 2011 (Squaw Valley, Lake Tahoe, California, 07/10/2011 - 07/16/2011)
- Publisher
- Proceedings of Science
- DOI
- 10.48550/arxiv.1112.3119
- Language
- English
- Date published
- 07/05/2012
- Academic Unit
- Physics and Astronomy
- Record Identifier
- 9984442006602771
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