# Probing the vacuum fluctuations in scalar ghost-free theories

@article{Boos2019ProbingTV,
title={Probing the vacuum fluctuations in scalar ghost-free theories},
author={J. Boos and V. Frolov and A. Zelnikov},
journal={Physical Review D},
year={2019},
volume={99},
pages={076014}
}
• Published 2019
• Physics
• Physical Review D
• We discuss the response of vacuum fluctuations to a static potential in the context of massive, ghost-free infinite-derivative scalar field theories in two dimensions. For the special case of a $\delta$-like potential, $V=\lambda \delta(x)$, the problem is exactly solvable and we calculate the corresponding Hadamard function for this quantum field. Using this exact result we determine the renormalized value of the vacuum polarization $\langle \hat{\varphi}^2(x)\rangle_\text{ren}$ as a function… CONTINUE READING
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