Improving the five-point bootstrap
| Autor: | Poland, David, Prilepina, Valentina, Tadić, Petar |
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| Rok vydání: | 2023 |
| Předmět: | |
| Zdroj: | J. High Energ. Phys. 2024, 299 (2024) |
| Druh dokumentu: | Working Paper |
| DOI: | 10.1007/JHEP05(2024)299 |
| Popis: | 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 Pad\'e approximant to accelerate its convergence. We then study the $\langle\sigma\sigma\epsilon\sigma\sigma\rangle$ correlator in the 3d critical Ising model by truncating the operator product expansion (OPE) and only including operators with conformal dimension below a cutoff $\Delta\leqslant \Delta_{\rm cutoff}$. 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. Comment: 27 pages, 1 attached Mathematica notebook, v2: minor error fixed, v3: small adjustments |
| Databáze: | arXiv |
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