Type: Inproceedings

Coherent states in fermionic Fock-Krein spaces and their amplitudes

Robert Oeckl;

Book Title: Coherent States and their Applications

Editor: Antoine JP., Bagarello F., Gazeau JP

Abstract:

We generalize the fermionic coherent states to the case of Fock-Krein spaces, i.e., Fock spaces with an idefinite inner product of Krein type. This allows for their application in topological or functorial quantum field theory and more specifically in general boundary quantum field theory. In this context we derive a universal formula for the amplitude of a coherent state in linear field theory on an arbitrary manifold with boundary.