Physics – Mathematical Physics
Scientific paper
2011-06-06
Physics
Mathematical Physics
25 p, 1 Figure. Expanded proceedings report of talk given at the conference "Geometry and Physics in Cracow", Cracow, Poland,
Scientific paper
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.
No associations
LandOfFree
Quantum Dirac Field on Moyal-Minkowski Spacetime - Illustrating Quantum Field Theory over Lorentzian Spectral Geometry 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 Quantum Dirac Field on Moyal-Minkowski Spacetime - Illustrating Quantum Field Theory over Lorentzian Spectral Geometry, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Quantum Dirac Field on Moyal-Minkowski Spacetime - Illustrating Quantum Field Theory over Lorentzian Spectral Geometry will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-390611