Tests of conformal field theory at the Yang-Lee singularity

This paper studies the Yang-Lee edge singularity of 2-dimensional (2D) Ising model based on a quantum spin chain and transfer matrix measurements on the cylinder. Based on finite-size scaling, the low-lying excitation spectrum is found at the Yang-Lee edge singularity. Based on transfer matrix techn...

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Bibliographic Details
Main Authors: Wydro, Tomasz, McCabe, John F
Format: Conference Proceeding
Language:English
Subjects:
ANGULAR MOMENTUM
CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY
CONFORMAL INVARIANCE
CRYSTAL MODELS
ENERGY LEVELS
ENERGY-LEVEL TRANSITIONS
EXCITATION
EXCITED STATES
FIELD THEORIES
INVARIANCE PRINCIPLES
ISING MODEL
MATHEMATICAL MODELS
MATRICES
MECHANICS
PARTICLE PROPERTIES
PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
QUANTUM FIELD THEORY
QUANTUM MECHANICS
SINGULARITY
SPIN
TWO-DIMENSIONAL CALCULATIONS
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Summary:This paper studies the Yang-Lee edge singularity of 2-dimensional (2D) Ising model based on a quantum spin chain and transfer matrix measurements on the cylinder. Based on finite-size scaling, the low-lying excitation spectrum is found at the Yang-Lee edge singularity. Based on transfer matrix techniques, the single structure constant is evaluated at the Yang-Lee edge singularity. The results of both types of measurements are found to be fully consistent with the predictions for the (A(4), A(1)) minimal conformal field theory, which was previously identified with this critical point.
ISSN:0094-243X
1551-7616
DOI:10.1063/1.3284418