Ising model on a twisted lattice with holographic renormalization-group flow

So Matsuura; Norisuke Sakai

doi:10.1093/ptep/ptv147

Ising model on a twisted lattice with holographic renormalization-group flow

So Matsuura, Norisuke Sakai

Faculty of Business and Commerce

Research output: Contribution to journal › Article › peer-review

Abstract

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 Ⅎ. 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.

Original language	English
Article number	113B02
Journal	Progress of Theoretical and Experimental Physics
Volume	2015
Issue number	11
DOIs	https://doi.org/10.1093/ptep/ptv147
Publication status	Published - 2015 Nov

ASJC Scopus subject areas

Physics and Astronomy(all)

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10.1093/ptep/ptv147

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abstract = "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 Ⅎ. 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.",

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Ising model on a twisted lattice with holographic renormalization-group flow

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