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High Energy Physics - Theory

arXiv:2111.14731 (hep-th)
[Submitted on 29 Nov 2021 (v1), last revised 2 Dec 2021 (this version, v2)]

Title:Mixed Correlator Dispersive CFT Sum Rules

Authors:Anh-Khoi Trinh
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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 holographic CFT functionals which probe scalar particle scattering in Anti-de Sitter spacetime. Finally, we test properties of these dispersive sum rules when applied to the 3D Ising model, and we use truncated sum rules to find approximate solutions to the crossing equation.
Comments: 44+10 pages, 14 figures; v2: references added, fixed formatting
Subjects: High Energy Physics - Theory (hep-th)
Cite as: arXiv:2111.14731 [hep-th]
  (or arXiv:2111.14731v2 [hep-th] for this version)
  https://doi.org/10.48550/arXiv.2111.14731
Related DOI: https://doi.org/10.1007/JHEP03%282022%29032

Submission history

From: Anh-Khoi Trinh [view email]
[v1] Mon, 29 Nov 2021 17:35:19 UTC (1,707 KB)
[v2] Thu, 2 Dec 2021 16:51:43 UTC (1,706 KB)
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