Theoretical Physics of the Early Universe
The observed Universe can be very well described in terms of the Standard Model (SM) of Particle Physics, gravitation, neutrinos and Cold Dark Matter. The present understanding ranges from times below the Electroweak Phase transition, 10^-12 seconds after the Bang, until today, 13.8 billion years later. The cosmic evolution depends sensitively on initial conditions, such as the matter-antimatter asymmetry, the Dark Matter abundance and density perturbations, that eventually grow into galaxies.
Understanding the initial conditions is one of the key motivations for exploring Physics beyond the SM. Cosmology thus complements laboratory experiments such as the Large Hadron Collider. The particular research interests of our group encompass the origin of the matter-antimatter asymmetry and of density perturbations from inflation. In particular, we develop theoretical methods for calculations on the dynamics and reactions of elementary particles at very high temperatures and in curved spacetimes, i.e. under conditions present in the Early Universe.
Members of the Research Group
|Prof. Dr.||Björn||Garbrecht||3334||+49 89 289-12363|
|Daniela||Neufang||–||+49 89 289-12662|
|Dr.||Julia||Harz||–||+49 89 289-12601|
|Raza Ur Rehman||Mir||–||–|
|Juan Manuel||Cano Vila||–||–|
|Dr.||Ricardo Cesar||Giorgetti Landim||–||–|
Course with Participations of Group Members
Offers for Theses in the Group
- Landau levels, gauge and translation invariance
The system consisting of a charged point particle in a homogeneous magnetic field is translation invariant in the plane perpendicular to the field. Consequently, the Lagrangian and Hamiltonian are invariant up to a total time derivative. Yet, there is no gauge in which the quantized Hamiltonian manifests this symmetry. Translations are then tantamount to gauge transformations. We aim to pin where the the loss of manifest tranlation invariance occurs and to see whether it can be circumvented. As one line of the analysis we shall construct the path integral from the quantized theory, where we expect translation invariance to be manifest once again. Further, we will consider general models where the Hamiltonian requires some form of gauge fixing.
- suitable as
- Bachelor’s Thesis Physics
- Supervisor: Björn Garbrecht