发表机构
C. N. Yang Institute for Theoretical Physics, Stony Brook University; Simons Center for Geometry and Physics, Stony Brook University（杨振宁理论物理研究所，石溪大学; 西蒙斯几何与物理中心，石溪大学）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
本文在 pp 波背景上研究共形场论中大自旋算符的渐近行为，通过热单点函数预测高温与低温区域的渐近行为，并在自由标量理论及大 N O(N) 模型中验证。研究揭示了 Regge 极限与热场论及解析自举的联系。
AI 中文摘要
我们通过将共形场论置于 pp 波背景上来研究大自旋算符的渐近行为。在此设定下，涉及两个大自旋算符和一个轻算符的三点系数被映射为 pp 波上的热单点函数。我们分别在高温和低温两个互补区域预测这些单点函数，分别对应于扭转随自旋的适当幂次标度以及自旋参数性地大于扭转的极限。特别地，在高温下，我们利用热有效场论推导其渐近行为，而在低温下，我们获得的结果可直接与解析自举的预测相匹配。我们在自由标量理论中检验这些一般性结果。最后，我们在 pp 波上数值求解大 $N$ $\text{O}(N)$ 模型，发现其单点函数和自由能在高温与低温区域均与我们的预测一致。
英文摘要
We study the asymptotic behavior of large-spin operators in conformal field theories by placing the theory on a pp-wave background. In this setting, three-point coefficients involving two large-spin operators and a light operator are mapped to thermal one-point functions on the pp-wave. We predict these one-point functions in the two complementary regimes of high- and low-temperature respectively, corresponding to a limit in which the twist scales with an appropriate power of the spin and the spin is parametrically larger than the twist, respectively. In particular, at high temperature we derive their asymptotic behavior using thermal effective field theory while at low temperature we obtain results that can be matched directly to predictions from the analytic bootstrap. We test these general results in free scalar theories. Finally, we solve the large-$N$ $\mathrm{O}(N)$ model numerically on the pp-wave, finding agreement with our predictions for both the one-point function and the free energy in the high- and low-temperature regimes.
Comments28 pages+appendices, 3 Figures
