QCD sum rules and the Skyrme model at large Nc |
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| Affiliation: | 1. Department of Management, Technology and Economics, Center for Economic Research at ETH, Swiss Federal Institute of Technology Zurich (ETH Zurich), Switzerland;2. Swiss Tropical and Public Health Institute (Swiss TPH), The University of Basel and Center of Economic Research at ETH, Switzerland;3. School of Energy and Environment, City University of Hong Kong, Hong Kong |
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| Abstract: | We study the large-Nc behaviour of the baryon spectrum using QCD duality sum rules. A comparison of our results with the ones of the Skyrme model gives a determination of the Skyrme parameter e and a relation between the pion decay constant fπ and the quark condensate. As a consequence, we show that fπ is the only scale which controls the hadron dynamics. An extrapolation of our large-Nc results into the real world Nc = 3 yields a good agreement with phenomenological estimates. |
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