| Abstract: |
| Yang-Mills model is a quantum field theory which is fundamental in physics. Due to small scale singularity, various lattice regularized models such as the Wilson and Villain models were proposed. These are well-defined measures on the lattice. We prove a universality result which shows that these measures converge to the same limiting measure in the continuum limit, and the proof is based on stochastic PDE. In particular, the measure is invariant under the solution to the SPDE. Based on joint work with Ilya Chevyrev. |
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