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Thermodynamic Integration, fermion sign problem, and real-space renormalization

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As non-specialists in renormalization, we have tried to understand Sect VI of the famous 1975 Review of Modern Physics by K. G. Wilson that has remained cryptic to many. I will discuss a practical and un-biased Monte Carlo algorithm that we have implemented for the two-dimensional Ising model. Inspired by the original numerical method, it integrates modern twists in sampling, and that might be useful in other contexts (work with K. Sathwik).

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