Freiburg 2008 – wissenschaftliches Programm

Bereiche | Tage | Auswahl | Suche | Downloads | Hilfe

MP: Fachverband Theoretische und Mathematische Grundlagen der Physik

MP 6: Quantenfeldtheorie

MP 6.6: Vortrag

Mittwoch, 5. März 2008, 18:40–19:00, KGI-HS 1023

Field Theory in Goedel-type Spacetimes — •Piotr Marecki — Institut für Theoretische Physik, Universität Leipzig, 04009 Leipzig

I will discuss mathematical aspects of the massless scalar field in spacetimes of Goedel type. Due to their high symmetry, these spacetimes might provide an arena for the next step of development of concrete models of quantum fields in curved spacetimes, such as these developed already for the de Sitter spacetime. While the motion of the sources of Goedel spacetimes (dust with non-vanishing vorticity) is physically interesting and not too-implausible, a difficulty with causality is encountered: sufficiently large regions of Goedel spacetimes posses CTCs. A complete picture of the classical solutions of the wave equation, which will be presented, sheds some light on the seriousness of this difficulty from the point of view of classical field theory and provides a link to known treatments of quantum fields in simple non-globally hyperbolic spacetimes such as time-like cylinders etc. I shall present an algebraic construction of the solutions based on the symmetry-generators of Goedel-type spacetimes and a connection to the analysis of unitary irreducible representations of SU(1,1).