1999/09/01 by I. L. Solovtsov, D. V. Shirkov · 3 citations
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Gravitational singularity #Invariant (physics) #Mathematical physics #Mathematics #Operator product expansion #Particle physics theoretical and experimental studies #Physics #Quantum Chromodynamics and Particle Interactions #Quantum chromodynamics #Quantum electrodynamics #Quantum mechanics #Renormalization #S-matrix #Scaling #Scattering #hep-ph
paper · pdf · doi:10.1007/bf02557245
published as Theor.Math.Phys. 120 (1999) 1220-1244; Teor.Mat.Fiz. 120 (1999) 482-510 · 30 pages, LaTeX with epsfig.sty, 11 PostScript figures
openalex publication_date 1999/09/01 · arxiv created 1999/09/09 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We investigate a new ``renormalization invariant analytic formulation'' of calculations in quantum chromodynamics, where the renormalization group summation is correlated with the analyticity with respect to the square of the transferred momentum Q2. The expressions for the invariant charge and matrix elements are then modified such that the unphysical singularities of the ghost pole type do not appear at all, being by construction compensated by additional nonperturbative contributions. Using the new scheme, we show that the results of calculations for a number of physical processes are stable with respect to higher-loop effects and the choice of the renormalization prescription. Having in mind applications of the new formulation to inelastic lepton-nucleon scattering processes, we analyze the corresponding structure functions starting from the general principles of the theory expressed by the Jost-Lehmann-Dyson integral representation. We use a nonstandard scaling variable that leads to modified moments of the structure functions possessing Källén-Lehmann analytic properties with respect to Q2. We find the relation between these ``modified analytic moments'' and the operator product expansion.