SAIP2014

Saddle point analysis within a vector-like SU(2) ‘QCD’ model

8 Jul 2014, 14:40

20m

D Les 104

Oral Presentation Track G - Theoretical and Computational Physics Theoretical

Speaker

Mrs Celeste Johnson (University of the WItwatersrand)

Level for award<br>&nbsp;(Hons, MSc, <br> &nbsp; PhD)?

MSc

Main supervisor (name and email)<br>and his / her institution

Prof Joao Rodrigues;
joao.rodrigues@wits.ac.za
University of the Witwatersrand

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

Yes

Would you like to <br> submit a short paper <br> for the Conference <br> Proceedings (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>

At low energies, QCD (quantum chromodynamics) requires non-perturbative solutions. We consider an SU(2) model which is a scaled down version of SU(3), simpler to work with because of its Pauli matrix basis, yet retaining key features such as its being a non-abelian theory. A compactified SU(2) gauge theory may be written as an O(3) vector model; within this context we find an exact non-perturbative solution using a saddle point analysis, making use of an already known Jacobian.