Evolution of cusped light-like Wilson loops and geometry of the loop space
arXiv:1208.1631 · doi:10.1103/PhysRevD.86.085035
Abstract
We discuss the possible relation between certain geometrical properties of the loop space and energy evolution of the cusped Wilson exponentials defined on the light-cone. Analysis of the area differential equations for this special class of the Wilson loops calls for careful treatment of the ultraviolet and rapidity divergences which make those loops non-multiplicatively-renormalizable. We propose to consider the renormalization properties of the light-cone cusped Wilson loops from the point of view of the universal quantum dynamical approach introduced by Schwinger. We conjecture and discuss the relevance of the Makeenko-Migdal loop equations supplied with the modified Schwinger principle to the energy evolution of some phenomenologically significant objects, such as transverse-momentum dependent distribution functions, collinear parton densities at large-, etc.
6 pages, 3 eps figures; v2: misprints corrected, minor changes in the conclusions, references updated; v3: extended to 8 pages, important updates in Sect. 3, matches the version published in Phys. Rev. D
References in corpus (8)
- Gluon scattering amplitudes at strong coupling
- Conformal properties of four-gluon planar amplitudes and Wilson loops
- Wilson lines and transverse-momentum dependent parton distribution functions: A renormalization-group analysis
- Renormalization, Wilson lines, and transverse-momentum dependent parton distribution functions
- Diagrammatic Exponentiation for Products of Wilson Lines
- Singular and Regular Gauges in Soft Collinear Effective Theory: The Introduction of the New Wilson Line T
- SCET, Light-Cone Gauge and the T-Wilson Lines
- Cusped SYM Wilson loop at two loops and beyond