Conjecture of an exact formula for 3-point functions of ℓ-leg and diagonal fields in critical loop models, supported by transfer-matrix numerics on cylinders that agree in most cases.
Logarithmic Corrections and Finite-Size Scaling in the Two-Dimensional 4-State Potts Model
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abstract
We analyze the scaling and finite-size-scaling behavior of the two-dimensional 4-state Potts model. We find new multiplicative logarithmic corrections for the susceptibility, in addition to the already known ones for the specific heat. We also find additive logarithmic corrections to scaling, some of which are universal. We have checked the theoretical predictions at criticality and off criticality by means of high-precision Monte Carlo data.
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Three-point functions in critical loop models
Conjecture of an exact formula for 3-point functions of ℓ-leg and diagonal fields in critical loop models, supported by transfer-matrix numerics on cylinders that agree in most cases.