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Improving the five-point bootstrap
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DOI：10.1007/JHEP05(2024)299.png)
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Abstract
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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 Pade approximant to accelerate its convergence. We then study the correlator in the 3d critical Ising model by truncating the operator product expansion (OPE) and only including operators with conformal dimension below a cutoff Delta <= Delta(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.
Keywords:
Scale and Conformal Symmetries
Correlation Functions
Conformal and W Symmetry
Journal
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5.5
Papers:
4.0W
Citations:
13.7W
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