Speaker
Would you like to <br> submit a short paper <br> for the Conference <br> Proceedings (Yes / No)?
Yes
Main supervisor (name and email)<br>and his / her institution
A/Prof. Heribert Weigert
heribert.weigert@uct.ac.za
University of Cape Town
Level for award<br> (Hons, MSc, <br> PhD, N/A)?
PhD
Apply to be<br> considered for a student <br> award (Yes / No)?
Yes
Please indicate whether<br>this abstract may be<br>published online<br>(Yes / No)
Yes
Abstract content <br> (Max 300 words)<br><a href="http://events.saip.org.za/getFile.py/access?resId=0&materialId=0&confId=34" target="_blank">Formatting &<br>Special chars</a>
In modern collider experiments such as the LHC or DESY, QCD reaction channels dominate the particle production. In the high energy limit, the number of gluons produced through these channels is so large, that these gluons dominate the initial conditions of heavy ion collisions and influence subsequent transitions of the produced hot dense matter into a Quark Gluon Plasma. These gluon dominated configurations are called the color glass condensate (CGC). The JIMWLK equation is a renormalization group equation that describes the energy evolution of observables in the CGC. In a collider experiment in the above described regime, the following stages occur: Due to confinement, a color-neutral configuration of partons, hereafter referred to as a singlet, scatters off a target eikonally; that is, each parton at a position x picks up a Wilson line Ux. The resulting color-rotated parton will then recombine into a color-neutral state, as is necessary by confinement. Since Wilson lines Ux are elements of the group SU(Nc), the interaction is governed by principles of group theory. I present a way of classifying all singlet states of an algebra of m quarks and n anti-quarks, where each gluon is mathematically equivalent to a dipole consisting of a quark and an anti-quark. I begin by considering all singlets of SU(Nc) over the algebra of m quarks and m anti-quarks, and then show that these give rise to the remaining (Nc-dependent) singlets of the algebra of m quarks and n anti-quarks via the Leibniz identity. I then discuss coincidence limits of the Wilson lines, giving interesting physical insights.
