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On planar gluon amplitudes/Wilson loops duality
Open accessAbstract
There is growing evidence that on-shell gluon scattering amplitudes in planar N = 4 SYM theory are equivalent to Wilson loops evaluated over contours consisting of straight, light-like segments defined by the momenta of the external gluons. This equivalence was first suggested at strong coupling using the AdS/CFT correspondence and has since been verified at weak coupling to one loop in perturbation theory. Here we perform an explicit two-loop calculation of the Wilson loop dual to the four-gluon scattering amplitude and demonstrate that the relation holds beyond one loop. We also propose an anomalous conformal Ward identity which uniquely fixes the form of the finite part (up to an additive constant) of the Wilson loop dual to four- and five-gluon amplitudes, in complete agreement with the BDS conjecture for the multi-gluon MHV amplitudes.
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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
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Holography from conformal field theory
Heemskerk, I., Penedones, J., Polchinski, J., & Sully, J. (2009) · Journal of High Energy Physics · doi:10.1088/1126-6708/2009/10/079 · Cited by 787
What is the simplest quantum field theory?
Arkani-Hamed, N., Cachazo, F., & Kaplan, J. (2010) · Journal of High Energy Physics · doi:10.1007/jhep09(2010)016 · Cited by 521
Grassmannian Geometry of Scattering Amplitudes
Arkani-Hamed, N., Bourjaily, J., Cachazo, F., Goncharov, A., Postnikov, A., & Trnka, J. (2016) · Cambridge University Press eBooks · doi:10.1017/cbo9781316091548 · Cited by 432
Factorization constraints for soft anomalous dimensions in QCD scattering amplitudes
Gardi, E., & Magnea, L. (2009) · Journal of High Energy Physics · doi:10.1088/1126-6708/2009/03/079 · Cited by 353
Bern, Z., Dixon, L. J., Kosower, D. A., Roiban, R., Spradlin, M., Vergu, C., & Volovich, A. (2008) · Physical Review D · doi:10.1103/physrevd.78.045007 · Cited by 342
Metadata
- Authors
- Drummond, J. M., Henn, J., Korchemsky, G. P., & Sokatchev, E.
- Venue
- Nuclear Physics B
- Publisher
- Elsevier BV
- Published
- 2008-05
- Volume
- 795
- Issue
- 1-2
- Pages
- 52-68
- ISSN
- 0550-3213 (ISSN-L)
- OpenAlex
- W1990498354
- Cited by
- 400
- References
- 4
- FWCI
- 28.36
- Type
- journal article
- Language
- en
- Open access
- hybrid
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- Drummond, J. M., Henn, J., Korchemsky, G. P., & Sokatchev, E. (2008). On planar gluon amplitudes/Wilson loops duality. Nuclear Physics B. https://doi.org/10.1016/j.nuclphysb.2007.11.007
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