Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

arXiv:cond-mat/0108411 · Journal of Physics A Mathematical and General

Ising tricriticality and the dilute A3model

Katherine Seaton

Published Feb 11, 2002• 5 citations
arXivHTMLPDF

Abstract

Some universal amplitude ratios appropriate to the ϕ 2,1 perturbation of the c = 7/10 minimal field theory, the subleading magnetic perturbation of the tricritical Ising model, are explicitly demonstrated in the dilute A 3 model, in regime 1.
DOI
10.1088/0305-4470/35/7/309

Related papers

Thermodynamic Bethe ansatz for the subleading magnetic perturbation of the tricritical Ising model

R.M. Ellem, V.V. Bazhanov

arXiv:hep-th/9703026•Nuclear Physics B•Feb 1, 1998•8 citations

The subleading magnetic deformation of the tricritical Ising model in two dimensions as RSOS restriction of the Izergin-Korepin model

Filippo Colomo, A. Koubek, Giuseppe Mussardo

arXiv:hep-th/9203003•Physics Letters B•Jan 1, 1992•10 citations

The dilute A4 model, the E7 mass spectrum and the tricritical Ising model

Katherine Seaton, Murray T. Batchelor

The exact perturbation approach is used to derive the (seven) elementary correlation lengths and related mass gaps of the two-dimensional dilute A4 lattice model in regime 2− from the Bethe Ansatz solution. This model provides a realization of the integrable φ(1,2) perturbation of the c=710 conformal field theory, which is known to describe the off-critical thermal behavior of the tricritical Ising model. The E7 masses predicted from purely elastic scattering theory follow in the approach to criticality. Universal amplitudes for the tricritical Ising model are calculated.

arXiv:math-ph/0110021•Journal of Mathematical Physics•May 1, 2002•2 citations

Five-loop expansion for a universal combination of critical amplitudes of the 3D dilute Ising model

I Mayer

Physica A Statistical Mechanics and its Applications•Apr 1, 1998•8 citations

Thermodynamic Bethe Ansatz for the subleading magnetic perturbation of the tricritical Ising model

Ellem, R M, Bazhanov, V V

We give further support to Smirnov's conjecture on the exact kink S-matrix for the massive Quantum Field Theory describing the integrable perturbation of the c=0.7 minimal Conformal Field theory (known to describe the tri-critical Ising model) by the operator $\\phi_{2,1}$. This operator has conformal dimensions $(7/16,7/16)$ and is identified with the subleading magnetic operator of the tri-critical Ising model. In this paper we apply the Thermodynamic Bethe Ansatz (TBA) approach to the kink scattering theory by explicitly utilising its relationship with the solvable lattice hard hexagon model. Analytically examining the ultraviolet scaling limit we recover the expected central charge c=0.7 of the tri-critical Ising model. We also compare numerical values for the ground state energy of the finite size system obtained from the TBA equations with the results obtained by the Truncated Conformal Space Approach and Conformal Perturbation Theory.

•Jan 1, 1998•9 citations

Universal Ratios in the 2D Tricritical Ising Model

Davide Fioravanti A, Giuseppe Mussardo, Pascal Simon

We consider the universality class of the two-dimensional tricritical Ising model. The scaling form of the free energy leads to the definition of universal ratios of critical amplitudes which may have experimental relevance. We compute these universal ratios by a combined use of results coming from perturbed conformal field theory, integrable quantum field theory, and numerical methods.

arXiv:hep-th/0002225•Physical Review Letters•Jul 3, 2000•16 citations
The exact perturbation approach is used to derive the (seven) elementary correlation lengths and related mass gaps of the two-dimensional dilute A4 lattice model in regime 2− from the Bethe Ansatz solution. This model provides a realization of the integrable φ(1,2) perturbation of the c=710 conformal field theory, which is known to describe the off-critical thermal behavior of the tricritical Ising model. The E7 masses predicted from purely elastic scattering theory follow in the approach to criticality. Universal amplitudes for the tricritical Ising model are calculated.
We give further support to Smirnov's conjecture on the exact kink S-matrix for the massive Quantum Field Theory describing the integrable perturbation of the c=0.7 minimal Conformal Field theory (known to describe the tri-critical Ising model) by the operator phi2,1\\phi_{2,1}phi2,1​. This operator has conformal dimensions (7/16,7/16)(7/16,7/16)(7/16,7/16) and is identified with the subleading magnetic operator of the tri-critical Ising model. In this paper we apply the Thermodynamic Bethe Ansatz (TBA) approach to the kink scattering theory by explicitly utilising its relationship with the solvable lattice hard hexagon model. Analytically examining the ultraviolet scaling limit we recover the expected central charge c=0.7 of the tri-critical Ising model. We also compare numerical values for the ground state energy of the finite size system obtained from the TBA equations with the results obtained by the Truncated Conformal Space Approach and Conformal Perturbation Theory.