1/N <inf>c</inf> and 1/n preasymptotic corrections to current-current correlators

Jorge Mondejar, Antonio Pineda

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6 Citations (Scopus)

Abstract

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 N c. 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 N c and obtain the associated decay constants that are consistent with perturbation theory. This example shows that that the inclusion of perturbative corrections, or finite N c effects, to the OPE does not constrain the slope of the Regge trajectories, which remain a free parameter for each different channel.
Original languageEnglish
Article number039
JournalJournal of High Energy Physics
Volume2008
Issue number6
DOIs
Publication statusPublished - 1 Jun 2008

Keywords

  • 1/N Expansion
  • Field theories in lower dimensions
  • QCD
  • Sum rules

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