2005/07/15 by S. Arnone, Stefano Arnone, Tim R. Morris +3 · 57 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Diagrammatic reasoning #Function (biology) #Gauge (firearms) #Gauge fixing #Gauge group #Gauge theory #Group (periodic table) #Hamiltonian lattice gauge theory #Invariant (physics) #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #hep-ph #hep-th
paper · pdf · doi:10.1140/epjc/s10052-007-0258-y
published in The European Physical Journal C 50(2), 467-504 (Springer Science+Business Media) · 91 pages, 58 figures
arxiv created 2005/07/15 · openalex publication_date 2007/03/05 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
We take the manifestly gauge invariant exact renormalisation group previously used to compute the one-loop beta function in SU(N) Yang-Mills without gauge fixing, and generalise it so that it can be renormalised straightforwardly at any loop order. The diagrammatic computational method is developed to cope with general group theory structures, and new methods are introduced to increase its power, so that much more can be done simply by manipulating diagrams. The new methods allow the standard two-loop beta function coefficient for SU(N) Yang-Mills to be computed, for the first time without fixing the gauge or specifying the details of the regularisation scheme.