# Logarithmic Corrections and Finite-Size Scaling in the Two-Dimensional   4-State Potts Model

**Authors:** Jes\'us Salas, Alan D. Sokal (NYU)

arXiv: hep-lat/9607030 · 2009-10-28

## TL;DR

This paper investigates the finite-size scaling behavior of the 2D 4-state Potts model, revealing new logarithmic corrections to susceptibility and other scaling functions through high-precision Monte Carlo simulations.

## Contribution

It introduces new multiplicative and additive logarithmic corrections to the scaling behavior of the model, expanding understanding of critical phenomena.

## Key findings

- Discovered new multiplicative logarithmic corrections for susceptibility.
- Identified additive logarithmic corrections, some of which are universal.
- Validated theoretical predictions with high-precision Monte Carlo data.

## 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.

## Full text

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## Figures

8 figures with captions in the complete paper: https://tomesphere.com/paper/hep-lat/9607030/full.md

## References

49 references — full list in the complete paper: https://tomesphere.com/paper/hep-lat/9607030/full.md

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Source: https://tomesphere.com/paper/hep-lat/9607030