Y-system for scattering amplitudes
By L. Alday, J. Maldacena, A. Sever, P. Vieira. 2010
291 citations recorded by the source corpus.
We compute super Yang–Mills planar amplitudes at strong coupling by considering minimal surfaces in AdS5 space. The surfaces end on a null polygonal contour at the boundary of AdS. We show how to compute the area of the surfaces as a function of the conformal cross ratios characterizing the polygon at the boundary. We reduce the problem to a simple set of functional equations for the cross ratios as functions of the spectral parameter. These equations have the form of thermodynamic Bethe ansatz (TBA) equations. The area is the free energy of the TBA system. We consider any number of gluons and in any kinematic configuration.
Subfields: Nuclear and High Energy Physics
View Paper: https://www.semanticscholar.org/paper/7578ec1ad46c9daa435b5ca95ac98a43d89c4cca
How researchers see this paper
The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.
In Nuclear and High Energy Physics
Citations in the corpus
- The all-loop integrand for scattering amplitudes in planar $ \mathcal{N} = 4 $ SYM (2010, background): “In the same line of thought, it is conceivable that there is a very direct link between the Yangian structure we uncovered and the very beautiful connections made at strong coupling with integrable systems, Y-systems, TBA equations and the Yang-Yang functional [79,80].”
- Wall-crossing in coupled 2d-4d systems (2011, methodology): “Recently the methods of [1, 2] have found some surprising applications to scattering in N = 4 super Yang-Mills theory [82, 83, 84, 85].”
- Space-time S-matrix and flux-tube S-matrix III. The two-particle contributions (2014, background): “In this section we highlight the main features of the strong coupling analysis and make contact with the minimal surface computations [12, 32, 33].”
- R-Twisting and 4d/2d Correspondences (2010, unknown): “If we identify the Y -system associated to these theories with the one (1)A closely related Y -system played an important role in [8].”
- An operator product expansion for polygonal null Wilson loops (2010, methodology): “This new form of the equations are as useful as the old ones [15, 16, 25] for numerical computations.”
- Motivic amplitudes and cluster coordinates (2013, background): “Finally, we have so far made no explicit reference to the integrability of planar SYM theory (see the review [79]), which clearly plays a crucial but so far not fully exploited part in unlocking the structure of its amplitudes (approaches other than the OPE mentioned above include for example [80–83”
- Form factors at strong coupling via a Y-system (2010, methodology): “R 1,1 kinematics in dual field theory language 1 . We extend the approach of [ 13 ] to cases”
- Classical polylogarithms for amplitudes and Wilson loops. (2010, methodology): “The simplicity of our result suggests that it is no longer outrageous to imagine the possibility of determining the remainder function for all n and any number L of loops, with an aim of matching onto the work of [18–22] at strong coupling.”
- Superconformal symmetry and two-loop amplitudes in planar N = 4 super Yang-Mills (2011, background): “Contact with integrability in scattering amplitudes was made from the string side at strong coupling [12].”
- From correlation functions to event shapes (2013, background): “The latter can be found using integrability techniques, the so-called Y − system [67, 68, 69, 70]. number This leads to the exponential fall-off X O 0 ∼ e −√ a Area( X ) for any of particles in the final state | X . the need h | | i i Thus, in order to calculate event shapes (1.1) at leading order at…”
- Scattering amplitudes and Wilson loops in twistor space (2011, background): “Twistors play an important role in the Grassmannian integral formulae of [1, 2], various formulations of the correspondence between Wilson loops and scattering amplitudes [3–7], the computations of [8] using symbols to simplify the two-loop six-particle MHV remainder function, the Y-system for the a”