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Conformal properties of four-gluon planar amplitudes and Wilson loops

Conformal properties of four-gluon planar amplitudes and Wilson loops
Conformal properties of four-gluon planar amplitudes and Wilson loops
We present further evidence for a dual conformal symmetry in the four-gluon planar scattering amplitude in N=4 SYM. We show that all the momentum integrals appearing in the perturbative on-shell calculations up to four loops are dual to true conformal integrals, well defined off shell. Assuming that the complete off-shell amplitude has this dual conformal symmetry and using the basic properties of factorization of infrared divergences, we derive the special form of the finite remainder previously found at weak coupling and recently reproduced at strong coupling by AdS/CFT. We show that the same finite term appears in a weak coupling calculation of a Wilson loop whose contour consists of four light-like segments associated with the gluon momenta. We also demonstrate that, due to the special form of the finite remainder, the asymptotic Regge limit of the four-gluon amplitude coincides with the exact expression evaluated for arbitrary values of the Mandelstam variables.
gluon scattering amplitudes, wilson loops, conformal invariance, gauge/string duality
0550-3213
385-408
Drummond, J.M.
3ea15544-457f-4e72-8ad0-60f3136841db
Korchemsky, G.P.
31a5fda1-802a-4d3c-b0d5-8534e7bbd0d6
Sokatchev, E.
7f872440-69ad-4bb5-80f9-d1a135c7626a
Drummond, J.M.
3ea15544-457f-4e72-8ad0-60f3136841db
Korchemsky, G.P.
31a5fda1-802a-4d3c-b0d5-8534e7bbd0d6
Sokatchev, E.
7f872440-69ad-4bb5-80f9-d1a135c7626a

Drummond, J.M., Korchemsky, G.P. and Sokatchev, E. (2008) Conformal properties of four-gluon planar amplitudes and Wilson loops. Nuclear Physics B, 795 (1-2), 385-408. (doi:10.1016/j.nuclphysb.2007.11.041).

Record type: Article

Abstract

We present further evidence for a dual conformal symmetry in the four-gluon planar scattering amplitude in N=4 SYM. We show that all the momentum integrals appearing in the perturbative on-shell calculations up to four loops are dual to true conformal integrals, well defined off shell. Assuming that the complete off-shell amplitude has this dual conformal symmetry and using the basic properties of factorization of infrared divergences, we derive the special form of the finite remainder previously found at weak coupling and recently reproduced at strong coupling by AdS/CFT. We show that the same finite term appears in a weak coupling calculation of a Wilson loop whose contour consists of four light-like segments associated with the gluon momenta. We also demonstrate that, due to the special form of the finite remainder, the asymptotic Regge limit of the four-gluon amplitude coincides with the exact expression evaluated for arbitrary values of the Mandelstam variables.

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More information

e-pub ahead of print date: 14 December 2007
Published date: 21 May 2008
Keywords: gluon scattering amplitudes, wilson loops, conformal invariance, gauge/string duality
Organisations: Theoretical Partical Physics Group

Identifiers

Local EPrints ID: 356763
URI: http://eprints.soton.ac.uk/id/eprint/356763
ISSN: 0550-3213
PURE UUID: acf88572-28c5-4770-976b-5a89ccfb0151

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Date deposited: 16 Sep 2013 10:37
Last modified: 09 Nov 2021 00:32

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Contributors

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

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