2017/03/31 by Humberto Gomez · 3 citations
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Combinatorics #Feynman diagram #Geometry #Law #Loop (graph theory) #Massless particle #Mathematical analysis #Mathematical physics #Mathematics #Momentum (technical analysis) #Noncommutative and Quantum Gravity Theories #Particle physics theoretical and experimental studies #Physics #Propagator #Quadratic equation #Riemann surface #Theoretical physics #Unitary state #hep-th #math-ph #math.MP
paper · pdf · doi:10.1103/physrevd.95.106006
published as Phys. Rev. D 95, 106006 (2017) · 26 pages, typos fixed and references added
arxiv created 2017/05/17 · openalex publication_date 2017/05/17 · arxiv updated 2017/05/24 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
Recently, the Cachazo-He-Yuan (CHY) approach has been extended to the loop level, but the resulting loop integrand has propagators that are linear in the loop momentum unlike Feynman's. In this paper, we present a new technique that directly produces quadratic propagators identical to Feynman's from the CHY approach. This paper focuses on the \ensuremathΦ3 theory, but extensions to other theories are briefly discussed. In addition, our proposal has an interesting geometric meaning; we can interpret this new formula as a unitary cut on a higher genus Riemann surface.