Related papers: Quantum fields from real-time ensemble dynamics

Quantum fields from real-time ensemble dynamics

URL: http://arxiv.org/abs/2602.04229v1
Date: Wed, 04 Feb 2026 05:40:38 GMT
Title: Quantum fields from real-time ensemble dynamics
Authors: Yong Zhang,
Abstract summary: We formulate quantum fields in a real-time Schrdinger-picture framework.<n>Within this formulation, the wave $[,t]$ encodes a first-order, causal ensemble dynamics on configuration space.<n> Entanglement, scattering, and conformal field amplitudes emerge as distinct projections of the same underlying ensemble theory.
Score: 6.0523316051636025
License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Abstract: Relativistic quantum field theory (QFT) is commonly formulated in terms of operators, asymptotic states, and covariant amplitudes, a perspective that tends to obscure the real-time origin of field dynamics and correlations. Here we formulate quantum fields in a real-time Schrödinger-picture framework, in which fields evolve as probability ensembles on the space of field configurations. Within this formulation, the wavefunctional $Ψ[φ,t]$ encodes a first-order, causal ensemble dynamics on configuration space. Interactions appear as couplings between configuration-space directions, while propagators arise as derived correlation structures rather than as fundamental postulates. Entanglement, scattering amplitudes, and conformal field theory correlators emerge as distinct projections of the same underlying ensemble evolution, corresponding to equal-time, asymptotic, and symmetry-organized observables. Standard operator, diagrammatic, and path-integral formulations are recovered as computational representations of this single real-time dynamics. This organization makes explicit the distinction between fundamental dynamical structure and representational tools in QFT, and clarifies the scope within which ensemble-averaged correlators account for quantum fluctuations, while also delineating the level at which questions associated with individual realizations and randomness would arise beyond the correlator-based field-theoretic description.

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