Quantum fermions and quantum field theory from classical statistics
Quantum Physics
2015-06-04 v1 High Energy Physics - Theory
Nuclear Theory
Abstract
An Ising-type classical statistical ensemble can describe the quantum physics of fermions if one chooses a particular law for the time evolution of the probability distribution. It accounts for the time evolution of a quantum field theory for Dirac particles in an external electromagnetic field. This yields in the non-relativistic one-particle limit the Schr\"odinger equation for a quantum particle in a potential. Interference or tunneling arise from classical probabilities.
Cite
@article{arxiv.1201.6212,
title = {Quantum fermions and quantum field theory from classical statistics},
author = {C. Wetterich},
journal= {arXiv preprint arXiv:1201.6212},
year = {2015}
}
Comments
15 pages, proceedings Emergent Quantum Mechanics, Heinz von Foerster conference, Vienna