2005/08/30 by Michael H. Seymour, Michael H Seymour · 2 citations
Materials Science · Physics and Astronomy · #Material Dynamics and Properties #Quasicrystal Structures and Properties #Random lasers and scattering media #hep-ph
paper · pdf · doi:10.1088/1126-6708/2005/10/029
published as JHEP0510:029,2005 · 3 pages
arxiv created 2005/08/30 · openalex publication_date 2005/10/11 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
In a recent paper, Dokshitzer and Marchesini rederived the anomalous dimension matrix for colour evolution of gg → gg scattering, first derived by Kidonakis, Oderda and Sterman. They noted a weird symmetry that it possesses under interchange of internal (colour group) and external (scattering angle) degrees of freedom and speculated that this may be related to an embedding into a context that correlates internal and external variables such as string theory. In this short note, I point out another symmetry possessed by all the colour evolution anomalous dimension matrices calculated to date. It is more prosaic, but equally unexpected, and may also point to the fact that colour evolution might be understood in some deeper theoretical framework. To my knowledge it has not been pointed out elsewhere, or anticipated by any of the authors calculating these matrices. It is simply that, in a suitably chosen colour basis, they are complex symmetric matrices.