4-8 July 2016
Kramer Law building
Africa/Johannesburg timezone
<a href="http://events.saip.org.za/internalPage.py?pageId=10&confId=86">The Proceedings of SAIP2016</a> published on 24 December 2017

Wilson Lines and Color-Neutral Operators in the Color Glass Condensate

5 Jul 2016, 15:20
20m
2A (Kramer Law building)

2A

Kramer Law building

UCT Middle Campus Cape Town
Oral Presentation Track G - Theoretical and Computational Physics Theoretical and Computational Physics (1)

Speaker

Mrs Judith Zeilinger (University of Cape Town)

Apply to be<br> considered for a student <br> &nbsp; award (Yes / No)?

Yes

Abstract content <br> &nbsp; (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.

Please indicate whether<br>this abstract may be<br>published online<br>(Yes / No)

Yes

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>&nbsp;(Hons, MSc, <br> &nbsp; PhD, N/A)?

PhD

Primary author

Mrs Judith Zeilinger (University of Cape Town)

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