Quantum Dirac Field on Moyal-Minkowski Spacetime
Prof. Dr. Rainer Verch (Leipzig)
26 May 2011, 16:15 – 17:45
A sketch of an approach towards Lorentzian spectral geometry (based on joint work with Mario Paschke) is described, together with a general way to define abstractly the quantized Dirac field on such Lorentzian spectral geometries. Moyal-Minkowski spacetime serves as an example. The scattering of the quantized Dirac field by a non-commutative (Moyal-deformed) action of an external scalar potential is investigated. It is shown that differentiating the S-matrix with respect to the strength of the scattering potential gives rise to quantum field operators depending on elements of the non-commutative algebra entering the spectral geometry description of Moyal-Minkowski spacetime, in the spirit of "Bogoliubov's formula'', in analogy to the situation found in external potential scattering by a usual scalar potential.
Vortrag FS Differentialgeometrie:: http://geometrie.math.uni-potsdam.de/index.php/de/aktivitaeten/vortraege-fs-differentialgeometrie/399-tba