A Stochastic Model of a Quantum Field Theory

TL;DR

This paper proposes a relativistic stochastic model for lattice quantum field theories that reproduces standard quantum theory behavior while maintaining relativistic invariance in a lattice framework.

Contribution

It introduces a novel non-local stochastic model for lattice quantum field theories that aligns with standard quantum mechanics and extends to a broad class of theories.

Findings

Model is operationally indistinguishable from standard quantum theory

Model maintains relativistic invariance in a lattice context

Applicable to a broad class of lattice theories

Abstract

The problem of obtaining a realistic, relativistic description of a quantum system is discussed in the context of a simple (light-cone) lattice field theory. A natural stochastic model is proposed which, although non-local, is relativistic (in the appropriate lattice sense), and which is operationally indistinguishable from the standard quantum theory. The generalization to a broad class of lattice theories is briefly described.