Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2010-05-05
Physics
High Energy Physics
High Energy Physics - Theory
32 pages
Scientific paper
We continue our study of the global properties of the z=2 Schroedinger space-time. In particular, we provide a codimension 2 isometric embedding which naturally gives rise to the previously introduced global coordinates. Furthermore, we study the causal structure by probing the space-time with point particles as well as with scalar fields. We show that, even though there is no global time function in the technical sense (Schroedinger space-time being non-distinguishing), the time coordinate of the global Schroedinger coordinate system is, in a precise way, the closest one can get to having such a time function. In spite of this and the corresponding strongly Galilean and almost pathological causal structure of this space-time, it is nevertheless possible to define a Hilbert space of normalisable scalar modes with a well-defined time-evolution. We also discuss how the Galilean causal structure is reflected and encoded in the scalar Wightman functions and the bulk-to-bulk propagator.
Blau Matthias
Hartong Jelle
Rollier Blaise
No associations
LandOfFree
Geometry of Schroedinger Space-Times II: Particle and Field Probes of the Causal Structure does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Geometry of Schroedinger Space-Times II: Particle and Field Probes of the Causal Structure, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Geometry of Schroedinger Space-Times II: Particle and Field Probes of the Causal Structure will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-437174