Abstract
Title: "A quantum field theory as emergent description of
supersymmetric classical dynamics"
Abstract:
The phase space description of a class of classical supersymmetric Hamiltonian systems is shown to contain the Schroedinger picture
of related quantum field theories. A constraint on the Grassmann valued
variables selects the quantum mechanical degrees of freedom. Here, the
Liouville operator is related to a Hilbert space Hamiltonian with stable
groundstate, unlike the case of statistical mechanics studied earlier in
the operator approach by Koopman and von Neumann.
The phase space constraint could reflect a dynamical symmetry breaking.
In this way, a scale is introduced which discriminates the underlying
classical behaviour from the emergent quantum features.
This illustrates 't Hooft's proposal to reconstruct quantum mechanics
as an emergent theory. It is achieved here for an interacting field theory
for the first time.