A Block-Spin Renormalization on the Hierarchical Non-Linear Supersymmetric Hyperbolic Sigma Model

Explore a mathematical physics lecture examining the hierarchical non-linear supersymmetric hyperbolic sigma model through block-spin renormalization techniques. Learn about this model's origins as a toy model for quantum diffusion and discover its growing significance in understanding history-dependent stochastic processes. Delve into the hierarchical interaction version of the model and understand how its internal symmetries enable exact block-spin renormalization steps. Examine the derivation process that yields an effective action with renormalized coefficients while maintaining the absence of additional interaction terms. Study the mathematical framework and applications of this approach, presented as collaborative research with S. Rolles and F. Merkl, providing insights into advanced topics in mathematical physics and statistical mechanics.