2008/08/31 by J. Wade Cherrington, J. Daniel Christensen · 12 citations
Mathematics · Physics and Astronomy · #Abelian group #Amplitude #Black Holes and Theoretical Physics #Dual (grammatical number) #Gauge theory #Mathematical physics #Mathematics #Noncommutative and Quantum Gravity Theories #Philosophy #Physics #Pure mathematics #Quantum Chromodynamics and Particle Interactions #Quantum electrodynamics #Quantum mechanics #Yang–Mills existence and mass gap #hep-lat
paper · pdf · doi:10.1016/j.nuclphysb.2008.12.016
published in Nuclear Physics B 813(3), 370-382 (Elsevier BV) · 9 pages, 7 figures. v2: updated notation, expanded introduction, discussed tests, re-ordered bibliography
arxiv created 2008/12/20 · openalex publication_date 2008/12/25 · arxiv updated 2017/07/11 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We derive an explicit formula for the vertex amplitude of dual SU(2) Yang-Mills theory in four dimensions on the lattice, and provide an efficient algorithm (of order j to the fourth power) for its computation. This opens the way for both numerical and analytic development of dual methods, previously limited to the case of three dimensions.