2014/02/27 by Yi-Jian Du, Bo Feng, C. D. Fu +1
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Art #Black Holes and Theoretical Physics #Classical mechanics #Combinatorics #Computer science #Database #Dual (grammatical number) #Kinematics #Literature #Loop (graph theory) #Mathematical physics #Mathematics #Nonlinear Waves and Solitons #Philosophy #Physics #Pure mathematics #Relation (database) #TRACE (psycholinguistics) #Topology (electrical circuits) #Yang–Mills existence and mass gap #hep-ph #hep-th
paper · pdf · doi:10.1007/jhep06(2014)157
26 pages,5 figures
arxiv created 2014/02/27 · openalex publication_date 2014/06/01 · arxiv updated 2015/06/18 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
In this work we extend two dual color decompositions of Yang-Mills amplitude to one-loop level. Starting from double-copy expression we translate the Yang-Mills integrand into the dual Del Duca-Dixon-Maltoni formulation and subsequently to the dual color-ordered formula. The dual trace factors are obtained after simultaneously solving the one-loop Kleiss-Kuijf relations, the reflection relation, and the relation that expresses the kinematic factors in the dual Del Duca-Dixon-Maltoni form.