Excited Mesons and Quantization of String Endpoints

E. Schreiber

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arXiv · hep-th/0403226

Excited Mesons and Quantization of String Endpoints

E. Schreiber

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Abstract

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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E. Schreiber. 2004-05-05. Excited Mesons and Quantization of String Endpoints. https://arxiv.org/abs/hep-th/0403226

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