Interacting quantum field theories as relativistic statistical field theories of local beables

Abstract

We propose a reformulation of quantum field theory (QFT) as a relativistic statistical field theory. This rewriting embeds a collapse model within an interacting QFT and thus provides a possible solution to the measurement problem. Additionally, it relaxes structural constraints on standard QFTs and hence might open the way to future mathematically rigorous constructions as well as new numerical methods. Finally, because it shows that collapse models can be hidden within QFTs, this article calls for a reconsideration of the dynamical program, as a possible underpinning rather than as a modification of quantum theory.

18p, clarification of the field-state relation

References in corpus (4)

• Gravity induced wave function collapse
• A persistent particle ontology for QFT in terms of the Dirac sea
• Time-local unraveling of non-Markovian stochastic Schrödinger equations
• Time reversal symmetry and collapse models

Cited by in corpus (8)

• Principle of least decoherence for Newtonian semi-classical gravity
• Mass-coupled relativistic spontaneous collapse models
• Binding quantum matter and space-time, without romanticism
• General quantum-classical dynamics as measurement based feedback
• Time-local unraveling of non-Markovian stochastic Schrödinger equations
• General Galilei Covariant Gaussian Maps
• A proposal for a new kind of spontaneous collapse model
• Non-Markovian wave-function collapse models are Bohmian-like theories in disguise