Published November 2015
| Version v1
Journal article
Ising model on a twisted lattice with holographic renormalization-group flow
Creators
- 1. Department of Physics, and Research and Education Center for Natural Sciences, Keio University, Hiyoshi 4-1-1, Yokohama, Kanagawa 223-8521 (Japan)
Description
The partition function of the 2D Ising model is exactly obtained on a lattice with a twisted boundary condition. The continuum limit of the model off the critical temperature is found to give the mass-deformed Ising conformal field theory on the torus with the complex structure τ. We find that the renormalization-group flow of the mass parameter can be holographically described in terms of the 3D gravity including a scalar field with a simple nonlinear kinetic function and a quadratic potential
Availability note (English)
Available from http://dx.doi.org/10.1093/ptep/ptv147; Available from http://repo.scoap3.org/record/12624Additional details
Identifiers
Publishing Information
- Journal Title
- Progress of Theoretical and Experimental Physics
- Journal Volume
- 2015
- Journal Issue
- 11
- Journal Page Range
- [21 p.]
- ISSN
- 2050-3911
INIS
- Country of Publication
- Japan
- Country of Input or Organization
- International Atomic Energy Agency (IAEA)
- INIS RN
- 47030045
- Subject category
- S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
- Descriptors DEI
- BOUNDARY CONDITIONS; CONFORMAL INVARIANCE; CRITICAL TEMPERATURE; GRAVITATION; GROUP THEORY; HOLOGRAPHY; ISING MODEL; NONLINEAR PROBLEMS; PARTITION FUNCTIONS; RENORMALIZATION; SCALAR FIELDS
- Descriptors DEC
- CRYSTAL MODELS; FUNCTIONS; INVARIANCE PRINCIPLES; MATHEMATICAL MODELS; MATHEMATICS; PHYSICAL PROPERTIES; THERMODYNAMIC PROPERTIES; TRANSITION TEMPERATURE
Optional Information
- Copyright
- Copyright (c) The Author(s) 2015. Published by Oxford University Press on behalf of the Physical Society of Japan
- Notes
- PUBLISHER-ID: ptv147; OAI: oai:repo.scoap3.org:12624
- Funding organization
- SCOAP3, CERN, Geneva (Switzerland)