Excited Mesons and Quantization of String Endpoints

Details Excited Mesons and Quantization of String Endpoints Excited Mesons and Quantization of String Endpoints

2004-03-23

arxiv.org/abs/hep-th/0403226v3

Physics

High Energy Physics

High Energy Physics - Theory

30 pages, 1 eps figure. v2,v3: 34 pages; clarifications, examples, references and acknowledgements added

Scientific paper

We argue that those field theories containing mesons that are dual to weakly curved string backgrounds are non-generic. The spectrum of highly excited mesons in confining field theories behaves as M_n ~ \sqrt{n} (where n is the radial excitation number), as does the spectrum of the dual mesons described by open strings ending on probe D branes. However, in the weakly coupled backgrounds, we show that the sector of (light) mesons with spin J <= 1, dual to the brane fluctuations, behaves as M_n ~ n, for confining and non--confining theories alike. In order to perform the analysis we suggest a method of quantization of the open string endpoints, and rely heavily on the semiclassical, or WKB, approximation.

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