Published May 2013
| Version v1
Journal article
On discrete field theory properties of the dimer and Ising models and their conformal field theory limits
Creators
- 1. Department of Mathematics, University of Michigan 2074 East Hall, 530 Church Street, Ann Arbor, Michigan 48109-1043 (United States)
- 2. Department of Applied Mathematics and Institute of Theoretical Computer Science (ITI), Charles University, Malostranske n. 25, 118 00 Praha 1 (Czech Republic)
- 3. Mathematical Institute, Charles University, Sokolovska 83, 180 00 Praha 8 (Czech Republic)
Description
We study various mathematical aspects of discrete models on graphs, specifically the Dimer and the Ising models. We focus on proving gluing formulas for individual summands of the partition function. We also obtain partial results regarding conjectured limits realized by fermions in rational conformal field theories.
Additional details
Identifiers
- DOI
- 10.1063/1.4807308;
Publishing Information
- Journal Title
- Journal of Mathematical Physics
- Journal Volume
- 54
- Journal Issue
- 5
- Journal Page Range
- p. 053513-053513.25
- ISSN
- 0022-2488
- CODEN
- JMAPAQ
INIS
- Country of Publication
- United States
- Country of Input or Organization
- International Atomic Energy Agency (IAEA)
- INIS RN
- 44117446
- Subject category
- S72: PHYSICS OF ELEMENTARY PARTICLES AND FIELDS;
- Descriptors DEI
- CONFORMAL INVARIANCE; DIMERS; FERMIONS; GRAPH THEORY; ISING MODEL; PARTITION FUNCTIONS; QUANTUM FIELD THEORY
- Descriptors DEC
- CRYSTAL MODELS; FIELD THEORIES; FUNCTIONS; INVARIANCE PRINCIPLES; MATHEMATICAL MODELS; MATHEMATICS
Optional Information
- Notes
- (c) 2013 AIP Publishing LLC