Proceedings of the International Conference on Geometry, Integrability and Quantization

0-Brane Matrix Dynamics for QCD Purposes: Regge Trajectories

Amir Fatollahi

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Abstract

The energy spectrum of two 0-branes for fixed angular momentum in 2+1 dimensions is calculated by the Rayleigh-Ritz method. The basis function used for each angular momentum consists of 80 eigenstates of the harmonic oscillator problem on the corresponding space. It is seen that the spectrum exhibits a definite linear Regge trajectory behavior. It is argued how this behavior supports the picture by which the bound-states of quarks and QCD-strings are governed by the quantum mechanics of matrix coordinates.

Article information

Source
Proceedings of the Seventeenth International Conference on Geometry, Integrability and Quantization, Ivaïlo M. Mladenov, Guowu Meng and Akira Yoshioka, eds. (Sofia: Avangard Prima, 2016), 231-242

Dates
First available in Project Euclid: 15 December 2015

Permanent link to this document
https://projecteuclid.org/ euclid.pgiq/1450194159

Digital Object Identifier
doi:10.7546/giq-17-2016-231-242

Mathematical Reviews number (MathSciNet)
MR3445432

Zentralblatt MATH identifier

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