Form factors at strong coupling via a Y-system
By J. Maldacena, A. Zhiboedov. 2010
194 citations recorded by the source corpus.
We compute form factors in planar $ \mathcal{N} = 4 $ Super Yang-Mills at strong coupling. Namely we consider the overlap between an operator insertion and 2n gluons. Through the gauge/string duality these are given by minimal surfaces in AdS space. The surfaces end on an infinite periodic sequence of null segments at the boundary of AdS. We consider surfaces that can be embedded in AdS3. We derive set of functional equations for the cross ratios as functions of the spectral parameter. These equations are of the form of a Y-system. The integral form of the Y-system has Thermodynamics Bethe Ansatz form. The area is given by the free energy of the TBA system or critical value of Yang-Yang functional. We consider a restricted set of operators which have small conformal dimension compared to $ \sqrt {{{\uplambda }}} $.
Subfields: Nuclear and High Energy Physics
View Paper: https://www.semanticscholar.org/paper/981f8cb4319ef98bdf0ae3d90cc0cdfedcc7cb80
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
- Color-kinematic duality for form factors (2012, background): “Form factors at strong coupling (in 2D kinematics) were considered in [15, 16].”
- 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…”