Flow-oriented perturbation theory

Journal of High Energy Physics

Regular Article - Theoretical Physics

Eric Laenen¹  Zeno Capatti²  Michael Borinsky³  Alexandre Salas-Bernárdez⁴ 

[1] IOP/ITFA, University of Amsterdam, Science Park 904, 1098 XH, Amsterdam, The Netherlands;Nikhef, Theory Group, Science Park 105, 1098 XG, Amsterdam, The Netherlands;ITF, Utrecht University, Leuvenlaan 4, 3584 CE, Utrecht, The Netherlands;Institute for Theoretical Physics, ETH Zürich, 8093, Zürich, Switzerland;Institute for Theoretical Studies, ETH Zürich, 8092, Zürich, Switzerland;Universidad Complutense de Madrid, Departamento de Física Teórica and IPARCOS, 28040, Madrid, Spain;

关键词: Field Theories in Lower Dimensions;    Higher-Order Perturbative Calculations;    Renormalization and Regularization;    Scattering Amplitudes;   

DOI  :  10.1007/JHEP01(2023)172

 received in 2022-10-25, accepted in 2023-01-12,  发布年份 2023

来源: Springer

【 摘 要 】

We introduce a new diagrammatic approach to perturbative quantum field theory, which we call flow-oriented perturbation theory (FOPT). Within it, Feynman graphs are replaced by strongly connected directed graphs (digraphs). FOPT is a coordinate space analogue of time-ordered perturbation theory and loop-tree duality, but it has the advantage of having combinatorial and canonical Feynman rules, combined with a simplified iε dependence of the resulting integrals. Moreover, we introduce a novel digraph-based representation for the S-matrix. The associated integrals involve the Fourier transform of the flow polytope. Due to this polytope’s properties, our S-matrix representation exhibits manifest infrared singularity factorization on a per-diagram level. Our findings reveal an interesting interplay between spurious singularities and Fourier transforms of polytopes.

【 授权许可】

Unknown   
© The Author(s) 2023