Non-perturbative measurements of two-point functions in quantum field theory

• URL: http://arxiv.org/abs/2605.18945v1
• Date: Mon, 18 May 2026 18:00:00 GMT
• Title: Non-perturbative measurements of two-point functions in quantum field theory
• Abstract summary: Local probes can access the two-point function of a quantum field within a region of spacetime.<n>We quantify the discrepancies introduced by physical finite-sized interaction regions.<n>Our protocol expresses the two-point function entirely in terms of measurable detectors correlations.
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• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: We present a non-perturbative method through which local probes can access the two-point function of a quantum field within a region of spacetime. By considering a lattice of gapless particle detectors, we identified the probe observables that encode the field's two-point function. We quantify the discrepancies introduced by physical finite-sized interaction regions by performing a spacetime multipole expansion of the smeared two-point function. Our protocol expresses the two-point function entirely in terms of measurable detectors correlations, providing an operational notion of states in QFT.

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