AG Lie-Gruppen: A. Neumaier, Universität Wien: Coherent Quantization III: Infra Fock Spaces and Nonlinear Fields

Coherent Quantization III: Infra Fock Spaces and Nonlinear Fields –
Vortragender: Arnold Neumaier, Universität Wien – Einladender: Karl-Hermann
Neeb

This is the third of three lectures on Coherent Quantization and Field Theory
to be given 11.-18.12.2023 in Erlangen (Germany).

(Lecture one and three = AG Lie-Gruppen; lecture two = AG Mathematische
Physik)

Abstract: Infra Fock spaces organize the infrastructure available in quantum
field theories. They lead naturally to quantum fluids, which form a framework
for diffeomorphism invariant quantum field theories. Quantum fluid dynamics
interpolates between the superselection sectors of a quantum field theory.

We discuss coherent field quantization, an infinite-dimensional generalization
of geometric quantization, and discuss associated conjectures for the
interface between classical and quantum observables and for the construction
of QED, Yang-Mills, QCD, and quantum gravity.

This lecture depends on the concepts and results of the first two lectures.
The slides of the lecture will probably become available \- at least three
hours before the lecture – at <https://arnold-
neumaier.at/cohErlangen2023.html>

where one can also find background material (abstracts and some references)
for all lectures.