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@masterthesis{faucris.320671726,
abstract = {In this thesis we consider the coupling of Maxwell theory to linearised gravity and derive a master
equation which suggests gravitationally induced decoherence on vector fields. The model is based
on the linear Hamiltonian formulation of general relativity with the use of Ashtekar variables.
The matter is coupled to linearised gravity, consistently using the framework of post-Minkowski
formalism. In order to formulate the model at the gauge invariant level, the relational formalism
is used. Therefore, we will consistently connect linearised gravity to the constrained system of
Maxwell’s theory by constructing suitable geometrical and electromagnetic reference fields. This
will be used to construct Dirac observables for the coupled system. Then we will use a reduced
phase space quantisation on the Fock space. To construct a TCL master equation we apply
the projecting operator technique with the time-convolutionless approach to the model, using a
Gibbs state as the initial state for linearised gravity. All assumptions and approximations in the
intermediate steps will be carefully analysed. In addition, the final TCL master equation is formulated in terms of thermal Wightmann functions and is not automatically of the Lindblad type,
which is often the starting point for phenomenological models, and in contrast to the existing
literature. For the derived master equation, we will also discuss why the Markov approximation
is not easily applicable. Furthermore, we will motivate that the formalism used in this thesis to
couple a constrained system to linearised gravity could be generalised to all Yang-Mills theories.