Journal article
Exact blocking formulas for spin and gauge models
Physical review. D, Particles, fields, gravitation, and cosmology, Vol.88(5), 056005
07/24/2013
DOI: 10.1103/PhysRevD.88.056005
Abstract
Phys. Rev. D 88, 056005 (2013) Using the example of the two-dimensional (2D) Ising model, we show that in
contrast to what can be done in configuration space, the tensor renormalization
group (TRG) formulation allows one to write exact, compact, and manifestly
local blocking formulas and exact coarse grained expressions for the partition
function. We argue that similar results should hold for most models studied by
lattice gauge theorists. We provide exact blocking formulas for several 2D spin
models (the O(2) and O(3) sigma models and the SU(2) principal chiral model)
and for the 3D gauge theories with groups Z_2, U(1) and SU(2). We briefly
discuss generalizations to other groups, higher dimensions and practical
implementations.
Details
- Title: Subtitle
- Exact blocking formulas for spin and gauge models
- Creators
- Yuzhi Liu - University of IowaY Meurice - University of IowaM. P Qin - Chinese Academy of SciencesJ Unmuth-Yockey - University of IowaT Xiang - Chinese Academy of SciencesZ. Y Xie - Chinese Academy of SciencesJ. F Yu - Chinese Academy of SciencesHaiyuan Zou - University of Iowa
- Resource Type
- Journal article
- Publication Details
- Physical review. D, Particles, fields, gravitation, and cosmology, Vol.88(5), 056005
- DOI
- 10.1103/PhysRevD.88.056005
- ISSN
- 1550-7998
- eISSN
- 1550-2368
- Publisher
- American Physical Society
- Language
- English
- Date published
- 07/24/2013
- Academic Unit
- Physics and Astronomy
- Record Identifier
- 9984199825902771
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