This article is cited in 1 paper

Multimode Relativistic String: Classical Solutions and Quantization

L. D. Solov'ev

Institute for High Energy Physics

Abstract: We find all independent classical solutions for the three-mode Nambu–Goto string. We investigate the geometry of the closed curves obtained. Canonical quantization is performed for a part of the solutions obtained. We consider the spectrum of the quantum states obtained. It is consistent with the experimental masses and quantum numbers of mesons corresponding to glueballs. The leading Regge trajectory of the obtained states is consistent with the available data on the Pomeron trajectory.

Keywords: relativistic string, relativistic quantization, glueball spectrum.

Received: 12.11.2002

DOI: 10.4213/tmf235

 English version: Theoretical and Mathematical Physics, 2003, 136:3, 1225–1250

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