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  BMN Gauge Theory as a Quantum Mechanical System

Beisert, N., Kristjansen, C., Plefka, J., & Staudacher, M. (2003). BMN Gauge Theory as a Quantum Mechanical System. Physics Letters B, 558(3-4), 229-237.

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Item Permalink: http://hdl.handle.net/11858/00-001M-0000-0013-5236-8 Version Permalink: http://hdl.handle.net/11858/00-001M-0000-0013-5237-6
Genre: Journal Article

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3175.pdf (Preprint), 171KB
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 Creators:
Beisert, Niklas1, Author              
Kristjansen, Charlotte2, Author
Plefka, Jan2, Author
Staudacher, Matthias2, Author              
Affiliations:
1Duality & Integrable Structures, AEI-Golm, MPI for Gravitational Physics, Max Planck Society, ou_24016              
2Quantum Gravity & Unified Theories, AEI-Golm, MPI for Gravitational Physics, Max Planck Society, ou_24014              

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 Abstract: We derive an effective, exact quantum mechanical Hamiltonian from N=4 gauge theory in the BMN limit. Its eigenvalues yield the one-loop anomalous dimensions of scalar two-impurity BMN operators for all genera. It is demonstrated that this reformulation vastly simplifies computations. E.g.~the known anomalous dimension formula for genus one is reproduced through a one-line calculation. We also efficiently evaluate the genus two correction, finding a non-vanishing result. We comment on multi-trace two-impurity operators and we conjecture that our quantum-mechanical reformulation could be extended to higher quantum loops and more impurities

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Language(s): eng - English
 Dates: 2003-04-17
 Publication Status: Published in print
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 Identifiers: eDoc: 3175
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Title: Physics Letters B
Source Genre: Journal
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Pages: - Volume / Issue: 558 (3-4) Sequence Number: - Start / End Page: 229 - 237 Identifier: -