|Research Area||Plasma Physics|
|Principal Investigator(s)||Prof.Dr. Gernot Münster|
This project belongs to the theory of elementary particles. We would like to perform numerical Monte Carlo simulations in two related theories, which pose open questions concerning fundamental issues in quantum field theory: Supersymmetric YangMills (SYM) theory with SU(2) gauge group and Quantum Chromodynamics (QCD) with a single quark flavour. Besides being theoretically related to each other in some specific limits, the Monte Carlo simulations on the lattice have the same basic problem, namely the nonpositive definiteness of the fermion determinant. We deal with this problem by applying the Polynomial Hybrid Monte Carlo (PHMC) update algorithm and by monitoring the sign of the determinant, which is then taken into account by reweighting in the statistical averages. As we showed in previous studies, for nonnegative fermion masses, this is a powerful method producing valuable results on the particle spectrum and on other until now unknown properties of these theories. With the computer time we apply for in this DECI project, our main aim is to extend previous investigations towards larger (32^3*64) lattices, allowing to reduce finite volume effects and to go closer to the continuum limit.