Work

Quantum off-shell recursion relation

Year: 2022

Type: article

Abstract: We construct off-shell recursion relations for arbitrary loop-level scattering amplitudes beyond the conventional tree-level recursion relations for ϕ4-theory and the Yang-Mills theory. We define a quantum perturbiner expansion that includes loop corrections from the quantum effective action formalism by identifying the external source. Our method clearly shows how the perturbiner expansion becomes an off-shell current generating function. Instead of using the classical equations of motion in the conventional perturbiner method, we exploit the Dyson-Schwinger equation to derive the quantum off-shell recursion relation to arbitrary order of loop-level scattering amplitudes. We solve the recursion relation and reproduce the results which agree up to one-loop six-point scattering amplitudes for ϕ4-theory. Furthermore, we construct the recursions for computing loop-level correlation functions by replacing the choice of the external source.

Source: Journal of High Energy Physics

DOI: 10.1007/jhep05(2022)051

Author: Kanghoon Lee

Institutions: Pohang University of Science and Technology, Asia Pacific Center for Theoretical Physics

Language: English

Topic: Particle physics theoretical and experimental studies

Subfield: Nuclear and High Energy Physics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: diamond

Funders: National Research Foundation, National Research Foundation of Korea, Ministry of Science and ICT, South Korea

Award: G2362851952