1998/12/14 by G. M. Shore, G.M. Shore, Shore, G. M.
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Combinatorics #FOS: Physical sciences #Geometry #Gluon #Gluon condensate #High Energy Physics - Phenomenology (hep-ph) #Mathematics #Noncommutative and Quantum Gravity Theories #Particle physics #Physics #Quantum and Classical Electrodynamics #Quantum chromodynamics #Symmetry (geometry) #Topology (electrical circuits) #hep-ph
paper · pdf · doi:10.48550/arxiv.hep-ph/9812354
Lecture at 1998 Zuoz Summer School, `Hidden Symmetries and Higgs Phenomena'. 22 pages, plain TeX, 2 ps or eps figures
arxiv created 1998/12/14 · openalex publication_date 1998/12/14 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
Many of the distinctive and subtle features of the dynamics in the UA(1) channel in QCD can be related to gluon topology, more precisely to the topological susceptibility χ(k2) = i∫ d4x~eikx< 0|T~Q(x)~Q(0)|0>, where Q = \as\over8π \rm tr G\m\n G\m\n is the gluon topological charge density. The link is the UA(1) axial (ABJ) anomaly. In this lecture, we describe the anomalous UA(1) chiral Ward identities in a functional formalism and show how two apparently unrelated `UA(1) problems' -- the mass of the η' and the violation of the Ellis-Jaffe sum rule in polarised deep-inelastic scattering -- can be explained in terms of the gluon topological susceptibility. They are related through a UA(1) extension of the Goldberger-Treiman formula, which is derived here for QCD with both massless and massive quarks.