Coherent states in fermionic Fock-Krein spaces and their amplitudes
Mathematical Physics
2018-06-28 v2 High Energy Physics - Theory
math.MP
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.
Keywords
Cite
@article{arxiv.1708.03047,
title = {Coherent states in fermionic Fock-Krein spaces and their amplitudes},
author = {Robert Oeckl},
journal= {arXiv preprint arXiv:1708.03047},
year = {2018}
}
Comments
20 pages, LaTeX + AMS + svmult (included), contribution to the proceedings of the conference "Coherent States and their Applications: A Contemporary Panorama" (Marseille, 2016); v2: minor corrections and added axioms from arXiv:1208.5038