5 papers · 1 filter
Casimir driven evolution of the universe
Frank Antonsen, Karsten Bormann
For a Friedman-Robertson-Walker space-time in which the only contribution to the stress-energy tensor comes from the renormalised zero-point energy (i.e. the Casimir energy) of the…
Wigner Functions in Curved Spacetimes and Deformation Quantisation of Constrained Systems
Frank Antonsen
We first generalise the standard Wigner function to Dirac fermions in curved spacetimes. Secondly, we turn to the Moyal quantisation of systems with constraints. Gravity is used as…
The Heat-Kernel in a Schwarzschild Geometry and the Casimir Energy
Frank Antonsen
We obtain an hybrid expression for the heat-kernel, and from that the density of the free energy, for a minimally coupled scalar field in a Schwarzschild geometry at finite tempera…
Deformation Quantisation of Constrained Systems
Frank Antonsen
We study the deformation quantisation (Moyal quantisation) of general constrained Hamiltonian systems. It is shown how second class constraints can be turned into first class quant…
4D diffeomorphisms in canonical gravity and abelian deformations
Frank Antonsen, Fotini Markopoulou
A careful study of the induced transformations on spatial quantities due to 4-dimensional spacetime diffeomorphisms in the canonical formulation of general relativity is undertaken…