HLRB Project pr48ji

Supersymmetric gauge theories on the lattice

Lehrstuhl für Quantentheorie,Universität jena

Supersymmetric gauge theories on the lattice

Lehrstuhl für Quantentheorie,Universität jena

Lehrstuhl für Quantentheorie,Universität jena

Dr. Andre Sternbeck

Max-Wien-Platz 1

07743 Jena

A deeper understanding of supersymmetric gauge theories, in particular in the nonperturbative regime, is essential for model building of realistic supersymmetric theories. Theories beyond the standard model of particle physics are often supersymmetric on very small scales and they can explain why the typical energy-scales of particles physics are much smaller then the Planck scale. Supersymmetric theories also yield an unification of gauge couplings at the GUT scale and they naturally contain stable particles which may explain the dark matter content in the universe. In this project we will employ Monte-Carlo calculations to investigate the low-energy sector of a supersymmetric $SU(3)$ gauge theory with one supersymmetry. From effective theories one expects that at low energies the theory behaves similar as QCD, the theory of the strong interaction. This means that the elementary constituents at high energies cannot be observed at low energies and are bound in glueballs, mesons and the like. The lightest of these particles are expected to form two super-multiplets, but neither their existence nor their mass hierarchy is well established. Furthermore, chiral symmetry is spontaneously broken, but the breaking pattern is different to QCD.The aim of the project is to calculate the vacuum structure of the theory, in particular the emergence of condensates and to study the pattern of chiral symmetry breaking. We will also determine the masses of the lightest bound states to provide a better understanding of the expected two super-multiplets.

Impressum, Conny Wendler