Loop space and evolution of the light-like Wilson polygonsLoop space and evolution of the light-like Wilson polygons
Faculty of Sciences. Physics
Elementary Particle Physics
International journal of modern physics: conference series
20(2012), p. 109-115
University of Antwerp
We address a connection between the energy evolution of the polygonal light-like Wilson exponentials and the geometry of the loop space with the gauge invariant Wilson loops of a variety of shapes being the fundamental degrees of freedom. The renormalization properties and the differential area evolution of these Wilson polygons are studied by making use of the universal Schwinger quantum dynamical approach. We discuss the appropriateness of the dynamical differential equations in the loop space to the study of the energy evolution of the collinear and transverse-momentum dependent parton distribution functions.