scholarly journals Bounds on the critical line via transfer matrix methods for an Ising model coupled to causal dynamical triangulations

2013 ◽  
Vol 54 (6) ◽  
pp. 063301 ◽  
Author(s):  
J. C. Hernandez ◽  
Y. Suhov ◽  
A. Yambartsev ◽  
S. Zohren
Keyword(s):  
Ising Model ◽  
Transfer Matrix ◽  
Critical Line ◽  
Matrix Methods ◽  
Causal Dynamical Triangulations ◽  
Dynamical Triangulations

scholarly journals The transfer matrix in four dimensional causal dynamical triangulations

2013 ◽  
Author(s):  
J. Ambjo̸rn ◽  
J. Gizbert-Studnicki ◽  
A. T. Görlich ◽  
J. Jurkiewicz ◽  
R. Loll
Keyword(s):  
Transfer Matrix ◽  
Causal Dynamical Triangulations ◽  
Dynamical Triangulations

scholarly journals Impact of topology in causal dynamical triangulations quantum gravity

2016 ◽  
Vol 94 (4) ◽  
Author(s):  
J. Ambjørn ◽  
Z. Drogosz ◽  
J. Gizbert-Studnicki ◽  
A. Görlich ◽  
J. Jurkiewicz ◽  
...  
Keyword(s):  
Quantum Gravity ◽  
Causal Dynamical Triangulations ◽  
Dynamical Triangulations

Corner transfer matrix study of an inhomogeneous Ising model

1992 ◽  
Vol 504 (2) ◽  
pp. 125-133 ◽  
Author(s):  
Ingo Peschel ◽  
Roland Wunderling
Keyword(s):  
Ising Model ◽  
Transfer Matrix ◽  
Inhomogeneous Ising Model

Transfer Matrix of the Two-dimensional Ising Model

2020 ◽  
pp. 211-234
Author(s):  
Giuseppe Mussardo
Keyword(s):  
Ising Model ◽  
Critical Point ◽  
Transfer Matrix ◽  
Functional Equations ◽  
Baxter Equation ◽  
Matrix Formalism ◽  
Two Dimensional ◽  
R Matrix ◽  
Transfer Matrix Formalism ◽  
Lowest Eigenvalue

This chapter deals with the exact solution of the two-dimensional Ising model as it is achieved through the transfer matrix formalism. It discusses the crucial role played by the commutative properties of the transfer matrices, which lead to a functional equation for their eigenvalues. The exact free energy of the Ising model and its critical point can be identified by means of the lowest eigenvalue. The chapter covers Baxter's approach, the Yang–Baxter equation and its relation to the Boltzmann weights, the R-matrix, and discusses activity away from the critical point, the six-vertex model, as well as functional equations and symmetries.

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