A functional approach to the numerical conformal bootstrap

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. We discuss how these methods can and should be implemented in higher dimensional applications.


Published in:
Journal Of High Energy Physics, 9, 6
Year:
Sep 01 2020
Publisher:
New York, SPRINGER
ISSN:
1029-8479
Keywords:
Laboratories:




 Record created 2020-09-30, last modified 2020-10-08


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