Regensburg 2019 – scientific programme

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DY: Fachverband Dynamik und Statistische Physik

DY 22: Critical Phenomena and Phase Transitions

DY 22.2: Talk

Tuesday, April 2, 2019, 14:15–14:30, H19

Two- and three-point functions at criticality: Monte Carlo simulations of the improved three-dimensional Blume-Capel model — •Martin Hasenbusch — Institut für Theoretische Physik, Universität Heidelberg, Philosophenweg 19, D-69120 Heidelberg, Deutschland

We compute two- and three-point functions at criticality for the three-dimensional Ising universality class. To this end we simulate the improved Blume-Capel model at the critical temperature on simple cubic lattices of a linear size up to L=1600. As check also simulations of the spin-1/2 Ising model are performed. We find f_{σ σ є} = 1.051(1) and f_{є є є} =1.533(5) for operator product expansion coefficients. These results are consistent with but less precise than those recently obtained by using the bootstrap method. An important ingredient in our simulations is a variance reduced estimator of N-point functions. Finite size corrections vanish with L^−Δ_є, where L is the linear size of the lattice and Δ_є is the scaling dimension of the leading Z₂-even scalar є.