scholarly journals STRUCTURE CONSTANT OF THE YANG–LEE EDGE SINGULARITY

2008 ◽  
Vol 22 (27) ◽  
pp. 4793-4797
Author(s):  
TOMASZ WYDRO ◽  
JOHN F. McCABE
Keyword(s):  
Field Theory ◽  
Conformal Field Theory ◽  
Ising Model ◽  
Transfer Matrix ◽  
Finite Size ◽  
Structure Constant ◽  
Finite Size Scaling ◽  
Edge Singularity ◽  
Conformal Field ◽  
Size Scaling

This paper studies the Yang–Lee singularity of the 2-dimensional Ising model on the cylinder via transfer matrix and finite-size scaling techniques. These techniques enable a measurement of the 2-point and 3-point correlations and a comparison of a measurement of a corresponding universal amplitude with a prediction for the amplitude from the (A4, A1) minimal conformal field theory.

CONFORMAL THEORY FOR YANG–LEE SINGULARITY OF 2D 3-STATE POTTS MODEL

2005 ◽  
Vol 19 (18) ◽  
pp. 3021-3035 ◽  
Author(s):  
TOMASZ WYDRO ◽  
JOHN F. McCABE
Keyword(s):  
Field Theory ◽  
Potts Model ◽  
Finite Size ◽  
Universality Class ◽  
Ising Models ◽  
Finite Size Scaling ◽  
Minimal Models ◽  
Edge Singularity ◽  
Conformal Theory ◽  
Conformal Field

We identify a conformal field theory (CFT) that describes the Yang–Lee edge singularity of the 2-dimensional (2D) 3-state Potts model. The identification is based on a comparison of finite-size scaling measurements to predictions for conformal minimal models. The comparison shows that the Yang–Lee edge singularities of the 2D 3-state Potts and the 2D Ising models are in the same universality class.

scholarly journals EXCITATION SPECTRUM AT THE YANG–LEE EDGE SINGULARITY OF THE 2D ISING MODEL

2006 ◽  
Vol 20 (04) ◽  
pp. 495-504 ◽  
Author(s):  
JOHN F. MCCABE ◽  
TOMASZ WYDRO
Keyword(s):  
Ising Model ◽  
Excitation Spectrum ◽  
Spin Chain ◽  
Central Charge ◽  
Finite Size ◽  
Quantum Spin ◽  
Finite Size Scaling ◽  
Quantum Spin Chain ◽  
Edge Singularity ◽  
Conformal Field

This paper studies the Yang–Lee edge singularity of 2-dimensional (2D) Ising model through a quantum spin chain. In particular, finite-size scaling measurements on the quantum spin chain are used to determine the low-lying excitation spectrum and central charge at the Yang–Lee edge singularity. The measured values are consistent with predictions for the (A4, A1) minimal conformal field theory.

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