2008/03/31 by Jorge Mondejar, Antonio Pineda · 1 citation
Mathematics · Physics and Astronomy · #Bound state #Operator (biology) #Operator product expansion #Perturbation (astronomy) #Perturbation theory (quantum mechanics) #Physics of Superconductivity and Magnetism #Pseudoscalar #Quantum Chromodynamics and Particle Interactions #Scalar (mathematics) #Spectral Theory in Mathematical Physics #Spectrum (functional analysis) #hep-ph #hep-th #nucl-th
paper · pdf · doi:10.1088/1126-6708/2008/06/039
published as JHEP 0806:039,2008 · 29 pages, 11 figures. Two references added
arxiv created 2008/06/10 · openalex publication_date 2008/06/13 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
We obtain the corrections in 1/n and in 1/ln n (n is the principal quantum number of the bound state) of the decay constants of scalar and pseudoscalar currents in two and four dimensions in the large Nc. We obtain them from the operator product expansion provided a model for the large n mass spectrum is given. In the two-dimensional case the spectrum is known and the corrections obtained in this paper are model independent. We confirm these results by confronting them with the numerical solution of the 't Hooft model. We also consider a model at finite Nc and obtain the associated decay constants that are consistent with perturbation theory. This example shows that that the inclusion of perturbative corrections, or finite Nc effects, to the OPE does not constrain the slope of the Regge trajectories, which remain a free parameter for each different channel.