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Open Quantum Systems Decoherence Quantum Simulation

Exponential Euclidean Decay and Spectral Support Separation in Osterwalder-Schrader Reconstruction

OpenAlex
Authors: A. Kim

Year

2026

Paper ID

25546

Status

Preprint

Abstract Read

~2 min

Abstract Words

75

Citations

0

Abstract

We establish exponential Euclidean decay and spectral support separation conditions sufficient for Osterwalder–Schrader reconstruction of relativistic quantum field theories. The analysis isolates a structural separation between the spectral support of excitations and Euclidean decay scales, providing a framework in which reflection positivity and spectral positivity jointly enforce reconstruction. The results clarify how Euclidean correlation decay encodes the spectral structure of physical excitations and provide a pathway toward spectral-gap formulations in constructive quantum field theory.

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  • This paper contributes to the Quantum Simulation research area in the Quantum Articles archive.
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  • We establish exponential Euclidean decay and spectral support separation conditions sufficient for Osterwalder–Schrader reconstruction of relativistic quantum field theories.

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