arXiv:quant-ph/0303156quant-ph
Bohmian Mechanics and Quantum Field Theory
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Abstract
We discuss a recently proposed extension of Bohmian mechanics to quantum field theory. For more or less any regularized quantum field theory there is a corresponding theory of particle motion, which in particular ascribes trajectories to the electrons or whatever sort of particles the quantum field theory is about. Corresponding to the nonconservation of the particle number operator in the quantum field theory, the theory describes explicit creation and annihilation events: the world lines for the particles can begin and end.
Why do you say that? There are adaptations that have creation and annihilation of particles in Bohmian mechanics: http://arxiv.org/abs/quant-ph/0303156 The main issue is that QFT does not generate a mathematically well-defined evolution of the wave function, but there are…
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