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math-ph2024
Microlocal Analysis of a Deformed Quantum Field Theory
Rishabh Ballal, Albert Much, Rainer Verch
A deformation technique, known as the warped convolution, takes quantum fields in Minkowski spacetime to quantum fields in noncommutative Minkowski space-time. Since a quantum fiel…
gr-qc2024
A Deformation Quantization for Non-Flat Spacetimes and Applications to QFT
Albert Much
We provide a deformation quantization, in the sense of Rieffel, for \textit{all} globally hyperbolic spacetimes with a Poisson structure. The Poisson structures have to satisfy Fed…
gr-qc2024
Quantum Spacetimes from General Relativity?
Albert Much
We introduce a non-commutative product for curved spacetimes, that can be regarded as a generalization of the Rieffel (or Moyal-Weyl) product. This product employs the exponential…