2021
DOI: 10.48550/arxiv.2111.14731
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Mixed Correlator Dispersive CFT Sum Rules

Anh-Khoi Trinh

Abstract: Conformal field theory (CFT) dispersion relations reconstruct correlators in terms of their double discontinuity. When applied to the crossing equation, such dispersive transforms lead to sum rules that suppress the double-twist sector of the spectrum and enjoy positivity properties at large twist. In this paper, we construct dispersive CFT functionals for correlators of unequal scalar operators in position-and Mellin-space. We then evaluate these functionals in the Regge limit to construct mixed correlator ho… Show more

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