Universal Amplitude Ratios in the 3D Ising Model

Abstract

We present a high precision Monte Carlo study of various universal amplitude ratios of the three dimensional Ising spin model. Using state of the art simulation techniques we studied the model close to criticality in both phases. Great care was taken to control systematic errors due to finite size effects and correction to scaling terms. We obtain $C_{+}/C_{-}=4.75(3)$, $f_{+,2nd}/f_{-,2nd}=1.95(2)$ and $u^{\ast }=14.3(1)$. Our results are compatible with those obtained by field theoretic methods applied to the ${\varphi }^4$ theory and high and low temperature series expansions of the Ising model.

3 pages, talk given at LATTICE97

References in corpus (3)

• 3D Ising Model:The Scaling Equation of State
• Correlation Function in Ising Models
• Calculation of Universal Amplitude Ratios in three-loop order

Cited by in corpus (9)

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• Charting the scaling region of the Ising universality class in two and three dimensions
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• Lattice Gauge Theories and the AdS/CFT Correspondence
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• Ising model with varying spin strength on a scale-free network: scaling functions and critical amplitude ratios
• A hierarchy of self-consistent stochastic boundary conditions for Ising lattice simulations
• Corrections to Scaling and Critical Amplitudes in SU(2) Lattice Gauge Theory