Lay summary

This research project has two distinct parts:

one in particle physics(Z. Kunszt) and one in mathematical physics (J. Fohlich). The particle physics project is about evaluating QCD corrections relevant for the most important physics signals at the Large Hadron Collider (LHC). In particular we calculate the Higgs signal for the LHC assuming next-to-leading order QCD corrections within the Standard Model and the Minimal Supersymmetric Standard Model including mass effects of the heavy particles. QCD corrections to various six particle processes are not yet calculated and they will play more important role at the LHC than at previous colliders. We shall develop the techniques used for evaluating these processes and shall calculate the cross-section of the subprocess ggqqQQ in next-to-leading order accuracy in QCD using new analytic and numerical techniques.

The projects in mathematical physics are consist of two parts.

First we shall study different types ofdynamics in large open quantum systems, like ballistic motion, friction of a charged particle emitting Cherenkov radiation, generation of entanglement,quantum theory of thermodynamics, adiabatic evolution of resonances, dissipative transport and generalization of the Egorov's theorem. In a second project we will continue our study the Batalin-Vilkovsky quantization and we extend our approach to the study of topological field theories and we make exploratory studies for connections to problems of noncommutative geometry. We also plan to continue to study some problems in conformal field theory in this respect.