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arXiv · 0710.0073

Strongly coupled large N spectrum of two matrices coupled via a Yang-Mills interaction

Martin N. H. Cook·João P. Rodrigues
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Abstract

We consider the large N spectrum of the quantum mechanical hamiltonian of two hermitean matrices coupled via a Yang-Mills interaction. In a framework where one of the matrices is treated exactly and the other is treated as a creation operator impurity, the difference equation associated with the Yang-Mills interaction is derived and solved exactly for two impurities. In this case, the full string tension corrected spectrum depends on two momenta. For a specific value of one of these momenta, the spectrum has the same structure as that of giant magnon bound states. States with general number of impurities are also discussed.

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Martin N. H. Cook, João P. Rodrigues. 2008-05-08. Strongly coupled large N spectrum of two matrices coupled via a Yang-Mills interaction. https://doi.org/10.1103/physrevd.78.065024

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