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arXiv · 1201.6212

Quantum fermions and quantum field theory from classical statistics

C. Wetterich
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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.

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C. Wetterich. 2012-01-30. Quantum fermions and quantum field theory from classical statistics. https://doi.org/10.1088/1742-6596/361/1/012031

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