Quantum fermions and quantum field theory from classical statistics

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 Schrödinger equation for a quantum particle in a potential. Interference or tunneling arise from classical probabilities.

15 pages, proceedings Emergent Quantum Mechanics, Heinz von Foerster conference, Vienna

References in corpus (6)

• Spinors in euclidean field theory, complex structures and discrete symmetries
• Quantum mechanics from classical statistics
• Fermions from classical statistics
• Quantum particles from coarse grained classical probabilities in phase space
• Classical probabilities for Majorana and Weyl spinors
• Zwitters: particles between quantum and classical