2006/07/31 by Jaemo Park, Woojoo Sim
Computer Science · Physics and Astronomy · #Computational Physics and Python Applications #Gauge (firearms) #Gauge anomaly #Gauge theory #Gluon #Hamiltonian lattice gauge theory #Introduction to gauge theory #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #Quantum gauge theory #Quiver #Supersymmetric gauge theory #hep-th
paper · pdf · doi:10.1088/1126-6708/2006/10/026
published as JHEP0610:026,2006 · 33 pages and 2 figures, minor corrections
arxiv created 2006/08/24 · openalex publication_date 2006/10/09 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
We study the recursive relations for a quiver gauge theory with the gauge group SU(N1)× SU(N2) with bifundamental fermions transforming as (N1,N2). We work out the recursive relation for the amplitudes involving a pair of quark and antiquark and gluons of each gauge group. We realize directly in the recursive relations the invariance under the order preserving permutations of the gluons of the first and the second gauge group. We check the proposed relations for MHV, 6-point and 7-point amplitudes and find the agreements with the known results and the known relations with the single gauge group amplitudes. The proposed recursive relation is much more efficient in calculating the amplitudes than using the known relations with the amplitudes of the single gauge group.