Real-Space Renormalization of 2D Lattice Models with Tensor Networks

Probability and analysis informal seminar
Tensor networks are a recent cool addition to physicist’s toolkit used to study renormalization of lattice models. However the mathematical theory of tensor network renormalization group (TNRG) is still in its infancy. I will aim to transmit my excitement about the tensor networks. Rough plan:1. Wilson’s conjecture about renormalization group fixed points describing criticality – can we prove it?2. Why are tensor networks better than other approaches to renormalization (e.g. spin blocking).3. Numerical algorithms for TNRG – what do people see numerically?4. Discrete scaling operator 5. A few mathematically rigorous results about TNRG6. Open problems
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