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  On the breakdown of perturbative integrability in large N matrix models

Klose, T. (2005). On the breakdown of perturbative integrability in large N matrix models. Journal of High Energy Physics, 2005(10): 083. Retrieved from http://www.iop.org/EJ/abstract/1126-6708/2005/10/083.

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Item Permalink: http://hdl.handle.net/11858/00-001M-0000-0013-4DC0-2 Version Permalink: http://hdl.handle.net/11858/00-001M-0000-0013-4DC2-D
Genre: Journal Article

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Klose, Thomas1, Author
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1Quantum Gravity & Unified Theories, AEI-Golm, MPI for Gravitational Physics, Max Planck Society, ou_24014              

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 Abstract: We study the perturbative integrability of the planar sector of a massive SU(N) matrix quantum mechanical theory with global SO(6) invariance and Yang-Mills-like interaction. This model arises as a consistent truncation of maximally supersymmetric Yang-Mills theory on a three-sphere to the lowest modes of the scalar fields. In fact, our studies mimic the current investigations concerning the integrability properties of this gauge theory. Like in the field theory we can prove the planar integrability of the SO(6) model at first perturbative order. At higher orders we restrict ourselves to the widely studied SU(2) subsector spanned by two complexified scalar fields of the theory. We show that our toy model satisfies all commonly studied integrability requirements such as degeneracies in the spectrum, existence of conserved charges and factorized scattering up to third perturbative order. These are the same qualitative features as the ones found in super Yang-Mills theory, which were enough to conjecture the all-loop integrability of that theory. For the SO(6) model, however, we show that these properties are not sufficient to predict higher loop integrability. In fact, we explicitly demonstrate the breakdown of perturbative integrability at fourth order.

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Language(s): eng - English
 Dates: 2005-10
 Publication Status: Published in print
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Title: Journal of High Energy Physics
Source Genre: Journal
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Pages: - Volume / Issue: 2005 (10) Sequence Number: 083 Start / End Page: - Identifier: -