期刊
JOURNAL OF HIGH ENERGY PHYSICS
卷 -, 期 3, 页码 -出版社
SPRINGER
DOI: 10.1007/JHEP03(2022)032
关键词
AdS-CFT Correspondence; Conformal and W Symmetry; Conformal Field Theory
资金
- National Science and Engineering Council of Canada
- Simons Collaboration on the Nonperturbative Bootstrap
This paper investigates dispersive functionals for correlators of unequal scalar operators in conformal field theory and explores scalar particle scattering in holographic dual theory. The results show that dispersive sum rules have important physical properties, as demonstrated by the tests on the 3D Ising model.
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.
作者
我是这篇论文的作者
点击您的名字以认领此论文并将其添加到您的个人资料中。
推荐
暂无数据