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2019

A functional approach to the numerical conformal bootstrap

Paulos, Miguel F., Zan, Bernardo

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We apply recently constructed functional bases to the numerical conformal bootstrap for 1D CFTs.

We argue and show that numerical results in this basis converge much faster than the traditional derivative basis.
In particular, truncations of the crossing equation with even a handful of components can lead to extremely accurate results, in opposition to hundreds of components in the usual approach.
We explain how this is a consequence of the functional basis correctly capturing the asymptotics of bound-saturating extremal solutions to crossing.

A functional approach to the numerical conformal bootstrap · Around

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D. Poland, D. Simmons-Duffin, and A. Vichi, “Carving Out the Space of 4D CFTs,”
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2012
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