1996/09/10 by J. A. Gracey · 1 citation
Mathematics · Physics and Astronomy · #Anomaly (physics) #Deep inelastic scattering #Geometry #Inelastic scattering #Mathematical analysis #Mathematical physics #Mathematics #Mixing (physics) #Operator (biology) #Operator matrix #Particle physics theoretical and experimental studies #Physics #Quantum Chromodynamics and Particle Interactions #Quantum electrodynamics #Quantum mechanics #Renormalization #Renormalization group #Scattering #Spectral Theory in Mathematical Physics #Twist #hep-ph
paper · pdf · doi:10.1016/s0550-3213(96)00485-3
published as Nucl.Phys.B480:73-98,1996 · 22 latex pages plus 7 figures
arxiv created 1996/09/10 · openalex publication_date 1996/11/01 · arxiv updated 2009/11/30 · openalex created_date 2019/04/25 · openalex updated_date 2026/08/05
Critical exponents are computed for a variety of twist-2 composite operators, which occur in polarized and unpolarized deep inelastic scattering, at leading order in the 1/Nf expansion. The resulting d-dimensional expressions, which depend on the moment of the operator, are in agreement with recent explicit two and three loop perturbative calculations. An interesting aspect of the critical point approach which is used, is that the anomalous dimensions of the flavour singlet eigenoperators, which diagonalize the perturbative mixing matrix, are computed directly. We also elucidate the treatment of gamma5 at the fixed point which is important in simplifying the calculation for polarized operators. Finally, the anomalous dimension of the singlet axial current is determined at O(1/Nf) by considering the renormalization of the anomaly in operator form.