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arXiv · 2509.09021

Reeh-Schlieder approximation for coherent states

Riccardo Falcone·Claudio Conti
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Abstract

We present an explicit, fully local Reeh-Schlieder approximation scheme for coherent states of a free scalar field. For any bounded region $\mathcal{U}$, we construct a one-parameter family of bounded operators $\hat{A}_ζ$ localized in the causal complement of $\mathcal{U}$. The action of $\hat{A}_ζ$ on the vacuum approximates the target coherent state in the limit $ζ\to 0$.

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Riccardo Falcone, Claudio Conti. 2025-09-10. Reeh-Schlieder approximation for coherent states. https://arxiv.org/abs/2509.09021

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