2009/11/18 by A. Gorsky, Alexander Zhiboedov, A. Zhiboedov · 11 citations
Mathematics · Physics and Astronomy · #Amplitude #Black Holes and Theoretical Physics #Combinatorics #Computer science #Cosmology and Gravitation Theories #Diagrammatic reasoning #Dimensional regularization #Duality (order theory) #Mathematical physics #Mathematics #Nullification #Physics #Polygon (computer graphics) #Pure mathematics #Quantum Chromodynamics and Particle Interactions #Quantum electrodynamics #Quantum mechanics #Regularization (linguistics) #Renormalization #Simplex #hep-th
paper · pdf · doi:10.1016/j.nuclphysb.2010.04.003
published in Nuclear Physics B 835(3), 343-363 (Elsevier BV) · 26 pages, 9 figures
arxiv created 2009/11/18 · openalex publication_date 2010/04/11 · arxiv updated 2014/11/20 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
We discuss formulation of Wilson polygon - MHV amplitude duality at the perturbative level in various regularizations. For four gluons it is shown that at one loop one can formulate diagrammatic correspondence interpolating between the dimensional regularization and the off-shell one. We suggest new interpretation of all types of box diagrams in terms of the dual simplex in dimensional regularization and describe its degeneration to the Wilson polygon. The interesting nullification phenomena for the low-energy amplitudes in the Higgsed phase has been found.