The DOI matches its Crossref record; 6 of the 6 references it cites were found in a registry or an index.
The Bethe-ansatz for Script N = 4 super Yang-Mills
Open accessAbstract
We derive the one loop mixing matrix for anomalous dimensions in N=4 Super Yang-Mills. We show that this matrix can be identified with the Hamiltonian of an integrable SO(6) spin chain with vector sites. We then use the Bethe ansatz to find a recipe for computing anomalous dimensions for a wide range of operators. We give exact results for BMN operators with two impurities and results up to and including first order 1/J corrections for BMN operators with many impurities. We then use a result of Reshetikhin's to find the exact one-loop anomalous dimension for an SO(6) singlet in the limit of large bare dimension. We also show that this last anomalous dimension is proportional to the square root of the string level in the weak coupling limit.
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Cites
The large $N$ limit of superconformal field theories and supergravity
Maldacena, J. (1998) · Advances in Theoretical and Mathematical Physics · doi:10.4310/atmp.1998.v2.n2.a1 · Cited by 14,524
Anti de Sitter space and holography
Witten, E. (1998) · Advances in Theoretical and Mathematical Physics · doi:10.4310/atmp.1998.v2.n2.a2 · Cited by 13,070
Gauge theory correlators from non-critical string theory
Gubser, S. S., Klebanov, I. R., & Polyakov, A. M. (1998) · Physics Letters B · doi:10.1016/s0370-2693(98)00377-3 · Cited by 9,307
Gauge Theory Correlators from Non-Critical String Theory
Gubser, S. S., Klebanov, I. R., & Polyakov, A. M. (1998) · arXiv · doi:10.48550/arxiv.hep-th/9802109 · Cited by 9,307
Zur Theorie der Metalle: I. Eigenwerte und Eigenfunktionen der linearen Atomkette
Bethe, H. (1931) · Zeitschrift f�r Physik · doi:10.1007/bf01341708 · Cited by 3,768
Anti De Sitter Space And Holography
Witten, E. (1998) · arXiv · doi:10.48550/arxiv.hep-th/9802150 · Cited by 374
Cited by
Classical/quantum integrability in AdS/CFT
A.Kazakov, V, Marshakov, A., A.Minahan, J., & Zarembo, K. (2004) · Journal of High Energy Physics · doi:10.1088/1126-6708/2004/05/024 · Cited by 567
Self-citationBern, Z., Czakon, M., Dixon, L. J., Kosower, D. A., & Smirnov, V. A. (2007) · Physical Review D · doi:10.1103/physrevd.75.085010 · Cited by 414
Lax pair for strings in Lunin-Maldacena background
Frolov, S. (2005) · Journal of High Energy Physics · doi:10.1088/1126-6708/2005/05/069 · Cited by 375
Exact Spectrum of Anomalous Dimensions of PlanarN=4Supersymmetric Yang-Mills Theory
Gromov, N., Kazakov, V., & Vieira, P. (2009) · Physical Review Letters · doi:10.1103/physrevlett.103.131601 · Cited by 353
Metadata
- Authors
- Minahan, J. A., & Zarembo, K.
- Venue
- Journal of High Energy Physics
- Published
- 2003-03-06
- Volume
- 2003
- Issue
- 03
- Pages
- 013-013
- ISSN
- 1029-8479 (ISSN-L)
- OpenAlex
- W1682487799
- Cited by
- 1,463
- References
- 6
- FWCI
- 69.34
- Type
- journal article
- Language
- en
- Open access
- bronze
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