Loop space and evolution of the light-like Wilson polygons
IO Cherednikov, T Mertens… - International journal of …, 2012 - World Scientific
IO Cherednikov, T Mertens, FF Van der Veken
International journal of modern physics: conference series, 2012•World ScientificWe 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 …
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 …
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.
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