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On planar gluon amplitudes/Wilson loops duality

On planar gluon amplitudes/Wilson loops duality
On planar gluon amplitudes/Wilson loops duality
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
0550-3213
52-68
Drummond, J.M.
3ea15544-457f-4e72-8ad0-60f3136841db
Henn, J.
81ccb9ec-9fb1-46ae-ac48-9d4afcd2dc86
Korchemsky, G.P.
31a5fda1-802a-4d3c-b0d5-8534e7bbd0d6
Sokatchev, E.
7f872440-69ad-4bb5-80f9-d1a135c7626a
Drummond, J.M.
3ea15544-457f-4e72-8ad0-60f3136841db
Henn, J.
81ccb9ec-9fb1-46ae-ac48-9d4afcd2dc86
Korchemsky, G.P.
31a5fda1-802a-4d3c-b0d5-8534e7bbd0d6
Sokatchev, E.
7f872440-69ad-4bb5-80f9-d1a135c7626a

Drummond, J.M., Henn, J., Korchemsky, G.P. and Sokatchev, E. (2008) On planar gluon amplitudes/Wilson loops duality. Nuclear Physics B, 795 (1-2), 52-68. (doi:10.1016/j.nuclphysb.2007.11.007).

Record type: Article

Abstract

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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Published date: May 2008
Organisations: Theoretical Partical Physics Group

Identifiers

Local EPrints ID: 356786
URI: http://eprints.soton.ac.uk/id/eprint/356786
ISSN: 0550-3213
PURE UUID: d4302638-daca-4742-b540-0ca99f1cd4f3

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Date deposited: 16 Sep 2013 09:24
Last modified: 09 Nov 2021 00:32

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Contributors

Author: J.M. Drummond
Author: J. Henn
Author: G.P. Korchemsky
Author: E. Sokatchev

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