Reeh-Schlieder approximation for coherent states

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 ${\hat{A}}_{\hat{I}}\P$ localized in the causal complement of $\mathcal{U}$. The action of ${\hat{A}}_{\hat{I}}\P$ on the vacuum approximates the target coherent state in the limit $\hat{I}\P \to 0$.