Research Paper#Statistical Physics, Gaussian Free Fields, Hamming Graphs, Spin Systems🔬 ResearchAnalyzed: Jan 3, 2026 15:47
Gaussian Free Fields on Hamming Graphs
Published:Dec 30, 2025 12:59
•1 min read
•ArXiv
Analysis
This paper explores a specific type of Gaussian Free Field (GFF) defined on Hamming graphs, contrasting it with the more common GFFs on integer lattices. The focus on Hamming distance-based interactions offers a different perspective on spin systems. The paper's value lies in its exploration of a less-studied model and the application of group-theoretic and Fourier transform techniques to derive explicit results. This could potentially lead to new insights into the behavior of spin systems and related statistical physics problems.
Key Takeaways
- •Focuses on a less-studied type of Gaussian Free Field (GFF) on Hamming graphs.
- •Uses Hamming distance for interactions, differing from nearest-neighbor interactions.
- •Employs group-theoretic arguments and Fourier transforms for explicit results.
- •Aims to provide new insights into spin systems and related problems.
Reference
“The paper introduces and analyzes a class of discrete Gaussian free fields on Hamming graphs, where interactions are determined solely by the Hamming distance between vertices.”