A Rational Approach to Resonance Saturation in large-Nc QCD

Details A Rational Approach to Resonance Saturation in large-Nc QCD A Rational Approach to Resonance Saturation in large-Nc QCD

2007-04-10

arxiv.org/abs/0704.1247v1

JHEP 0705:040,2007

Physics

High Energy Physics

High Energy Physics - Phenomenology

23 pages, 2 figures

Scientific paper

10.1088/1126-6708/2007/05/040

We point out that resonance saturation in QCD can be understood in the large-Nc limit from the mathematical theory of Pade Approximants to meromorphic functions. These approximants are rational functions which encompass any saturation with a finite number of resonances as a particular example, explaining several results which have appeared in the literature. We review the main properties of Pade Approximants with the help of a toy model for the two-point correlator, paying particular attention to the relationship among the Chiral Expansion, the Operator Product Expansion and the resonance spectrum. In passing, we also comment on an old proposal made by Migdal in 1977 which has recently attracted much attention in the context of AdS/QCD models. Finally, we apply the simplest Pade Approximant to the correlator in the real case of QCD. The general conclusion is that a rational approximant may reliably describe a Green's function in the Euclidean, but the same is not true in the Minkowski regime due to the appearance of unphysical poles and/or residues.

Affiliated with

Also associated with

No associations

Rating

A Rational Approach to Resonance Saturation in large-Nc QCD does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with A Rational Approach to Resonance Saturation in large-Nc QCD, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and A Rational Approach to Resonance Saturation in large-Nc QCD will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-207696