Bonn 2010 – wissenschaftliches Programm

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MP: Fachverband Theoretische und Mathematische Grundlagen der Physik

MP 4: Quantum Field Theory on Curved Spacetime

MP 4.1: Vortrag

Dienstag, 16. März 2010, 15:00–15:25, JUR H

QFT in stationary, axisymmetric spacetimes: lessons from vortex models — •Piotr Marecki — Universität Leipzig, Leipzig, Deutschland

Constructions of QFT of scalar fields in (stationary) spacetimes with ergospheres usually encounter peculiarities, most of which can be traced to the non-positivity of the classical energy functional. Not only are these difficulties of constructive nature, but they are known to be related to deep physical phenomena, which are speculated to take place in such spacetimes (ergosphere instabilities, Klein-paradox instabilities). We shall report on results, related to the above issues, achieved in the context of ``spacetimes'' taken from the analog-gravity correspondence (``acoustic spacetimes''). A spacetime of an acoustic irrotational vortex (stable, abundant configurations of rotating superfluids) provides an arena, where (in our opinion) the aforementioned QFT problems can be explicitly attacked, and - on the other hand - offers an unambiguous interpretation of results (by its experimental accessibility). Some functional-analytic problems related to properties of Krein-symmetric operators are uncovered in the analysis.