# A Dirac sea pilot-wave model for quantum field theory

@article{Colin2007ADS, title={A Dirac sea pilot-wave model for quantum field theory}, author={Samuel Colin and Ward Struyve}, journal={Journal of Physics A: Mathematical and Theoretical}, year={2007}, volume={40}, pages={7309 - 7341} }

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…

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## References

SHOWING 1-10 OF 70 REFERENCES

### A new pilot-wave model for quantum field theory

- Physics
- 2006

We present a way to construct a pilot‐wave model for quantum field theory. The idea is to introduce beables corresponding only to the bosonic degrees of freedom and not to the fermionic degrees of…

### Bohmian mechanics and quantum field theory.

- PhysicsPhysical review letters
- 2004

A recently proposed extension of Bohmian mechanics to quantum field theory is discussed, which describes explicit creation and annihilation events of particles: the world lines for the particles can begin and end.

### Quantum equilibrium and the origin of absolute uncertainty

- Physics
- 1992

The quantum formalism is a “measurement” formalism-a phenomenological formalism describing certain macroscopic regularities. We argue that it can be regarded, and best be understood, as arising from…

### Measurement understood through the quantum potential approach

- Physics
- 1984

We review briefly the quantum potential approach to quantum theory, and show that it yields a completely consistent account of the measurement process, including especially what has been called the…

### Position Operators and Localizability of Quantum Systems Described by Finite- and Infinite-Dimensional Wave Equations

- Physics
- 1968

The principles of quantum mechanics impose certain restrictions on acceptable position operators. The probability density as derived from the position operator should agree with the fourth component…

### Quantum Theory at the Crossroads: Reconsidering the 1927 Solvay Conference

- Physics
- 2009

Part I. Perspectives on the 1927 Solvay Conference: 1. Historical introduction 2. De Broglie's pilot-wave theory 3. From matrix mechanics to quantum mechanics 4. Schrodinger's wave mechanics Part II.…

### Bohmian mechanics and quantum theory: an appraisal

- Physics
- 1996

Preface. I: Bohmian Mechanics: Background and Fundamentals. 1. The Causal Quantum Theory Program J.T. Cushing. 2. Bohmian Mechanics as the Foundation of Quantum Mechanics D. Durr, et al. 3.…

### Objective interpretations of quantum mechanics and the possibility of a deterministic limit

- Physics
- 1987

Examines a suggestion by Bell (1984) that a deterministic model might be furnished by the continuum limit of an objective stochastic model which he has proposed for quantum field theory on a lattice.…

### Diverse topics in theoretical and mathematical physics

- Physics
- 1995

Part 1 Anomalies and fractional charge: non-canonical behaviour in canonical theories quantum mechanical symmetry breaking delta function potentials in two- and three-dimensional quantum mechanics…