2023/12/20 by David Poland, Poland, David, Valentina Prilepina +3 · 1 citation
Physics and Astronomy · #Quantum Chromodynamics and Particle Interactions #Physics of Superconductivity and Magnetism #Particle physics theoretical and experimental studies
paper · pdf · doi:10.48550/arxiv.2312.13344
We present a new algorithm for the numerical evaluation of five-point conformal blocks in d-dimensions, greatly improving the efficiency of their computation. To do this we use an appropriate ansatz for the blocks as a series expansion in radial coordinates, derive a set of recursion relations for the unknown coefficients in the ansatz, and evaluate the series using a Padé approximant to accelerate its convergence. We then study the ⟨σσεσσ⟩ correlator in the 3d critical Ising model by truncating the operator product expansion (OPE) and only including operators with conformal dimension below a cutoff Δ\leqslant Δ\rm cutoff. We approximate the contributions of the operators above the cutoff by the corresponding contributions in a suitable disconnected five-point correlator. Using this approach, we compute a number of OPE coefficients with greater accuracy than previous methods.