Phys. Rev. D, 110, L081901 (2024)
Loop corrections versus marginal deformations in celestial holography
Song He1,2,4,5, Pujian Mao3 and Xin-Cheng Mao4
1 Institute of Fundamental Physics and Quantum Technology, Ningbo University, Ningbo, Zhejiang 315211, China.
2 School of Physical Science and Technology, Ningbo University, Ningbo 315211, China.
3 Center for Joint Quantum Studies and Department of Physics, School of Science, Tianjin University, 135 Yaguan Road, Tianjin 300350, China.
4 Center for Theoretical Physics and College of Physics, Jilin University, 2699 Qianjin Street, Changchun 130012, China.
5 Max Planck Institute for Gravitational Physics (Albert Einstein Institute), Am Mühlenberg 1, 14476 Golm, Germany.
* hesong@jlu.edu.cn, pjmao@tju.edu.cn, maoxc1120@mails.jlu.edu.cn
Abstract
Four-dimensional all-loop amplitudes in QED and gravity exhibit universal Infrared (IR) singularities with a factorization structure. This structure is governed by tree amplitudes and a universal IR-divergent factor representing the exchange of soft particles between external lines. This letter offers a precise dual interpretation of these universal IR-divergent factors within celestial holography. Considering the tree amplitude as the foundation of the celestial conformal field theory (CCFT), these universal factors correspond to marginal deformations with a \textit{double-current} construction in the CCFT. Remarkably, a novel geometric representation of these deformations through topological gauging provides an exact description of transitions within bulk vacuum moduli spaces which extends the celestial holography beyond the perturbative level. Our findings establish a concrete dictionary for celestial holography and offer a holographic lens to understand loop corrections in scattering amplitudes.
