Precise Monte Carlo Estimates of Universal Quantities: Improved Lattice Models and Finite Size Scaling

par Martin Hasenbusch (Universität Heidelberg & IHES)

mardi 14 nov. 2023, 14:00 → 15:00 Europe/Paris

Bâtiment Alix et Marwan Lahoud (IHES)

I discuss improved lattice models in three dimensions. Improved means that either one or two parameters of the model are tuned such that the leading or the leading and the next to leading correction to scaling have, at least approximately, a vanishing amplitude. This is achieved by using a finite size scaling analysis of dimensionless quantities. Based on these results, accurate estimates of universal quantities such as critical exponents are obtained. I summarize results that have been obtained for the Ising, the XY, the Heisenberg and the cubic universality classes and compare them with those obtained by other methods, in particular precise estimates obtained recently by using the conformal bootstrap method.

 

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