A Dirac sea pilot-wave model for quantum field theory
arXiv:quant-ph/0701085 · doi:10.1088/1751-8113/40/26/015
Abstract
We present a pilot-wave model for quantum field theory in which the Dirac sea is taken seriously. The model ascribes particle trajectories to all the fermions, including the fermions filling the Dirac sea. The model is deterministic and applies to the regime in which fermion number is superselected. This work is a further elaboration of work by Colin, in which a Dirac sea pilot-wave model is presented for quantum electrodynamics. We extend his work to non-electromagnetic interactions, we discuss a cut-off regularization of the pilot-wave model and study how it reproduces the standard quantum predictions. The Dirac sea pilot-wave model can be seen as a possible continuum generalization of a lattice model by Bell. It can also be seen as a development and generalization of the ideas by Bohm, Hiley and Kaloyerou, who also suggested the use of the Dirac sea for the development of a pilot-wave model for quantum electrodynamics.
41 pages, no figures, LaTex, v2 minor improvements and additions
References in corpus (16)
- The Cosmological Parameters 2006
- Big-Bang nucleosynthesis (Particle Data Group mini-review)
- Quantum Equilibrium and the Origin of Absolute Uncertainty
- Bohmian Mechanics and Quantum Field Theory
- Bell-Type Quantum Field Theories
- Trajectories and Particle Creation and Annihilation in Quantum Field Theory
- On Galilean and Lorentz invariance in pilot-wave dynamics
- The "Unromantic Pictures" of Quantum Theory
- Remarks on identical particles in de Broglie-Bohm theory
- An upper bound on the total cross-section for electroweak baryon number violation
- A deterministic Bell model
- Quantum Hamiltonians and Stochastic Jumps
- A new pilot-wave model for quantum field theory
- Are All Particles Identical?
- On Superselection Rules in Bohm-Bell Theories
- Bell's Jump Process in Discrete Time
Cited by in corpus (27)
- Can Bohmian mechanics be made relativistic?
- Applied Bohmian Mechanics
- Timescales for dynamical relaxation to the Born rule
- Predictions and Primitive Ontology in Quantum Foundations: A Study of Examples
- Pilot-wave theory and quantum fields
- Decoherence and its Role in the Modern Measurement Problem
- A minimalist pilot-wave model for quantum electrodynamics
- The Fundamentality of Fields
- Quantum non-equilibrium and relaxation to equilibrium for a class of de Broglie-Bohm-type theories
- Pilot-wave approaches to quantum field theory
- Quantum field theory of relic nonequilibrium systems
- On Bohmian Mechanics, Particle Creation, and Relativistic Space-Time: Happy 100th Birthday, David Bohm!
- De Broglie-Bohm Quantum Mechanics
- The zig-zag road to reality
- Lorentz-invariant, retrocausal, and deterministic hidden variables
- Relationalism about mechanics based on a minimalist ontology of matter
- Particles, Fields, and the Measurement of Electron Spin
- Bohmian Trajectories for Hamiltonians with Interior-Boundary Conditions
- On the zig-zag pilot-wave approach for fermions
- Positron Position Operators. I. A Natural Option
- Bohmian Mechanics at Space-Time Singularities. I. Timelike Singularities
- Relativistic QFT from a Bohmian perspective: A proof of concept
- Long-Time Asymptotics of a Bohmian Scalar Quantum Field in de Sitter Space-Time
- Simulating Nelsonian Quantum Field Theory
- Space-Time-Matter: Some Notes on the Localization Problem in Relativistic Quantum Theory
- On substantive Lorentz invariance and quantum theory
- Bohmian Field Theory on a Shape Dynamics Background and Unruh Effect