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Probing the vacuum fluctuations in scalar ghost-free theories

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arxiv 1901.07096 v2 pith:D72F6AJ4 submitted 2019-01-21 hep-th

Jens Boos , Valeri P. Frolov , Andrei Zelnikov This is my paper · ORCID
classification hep-th
keywords potentialvacuumdeltadistancesfieldfluctuationsfunctionghost-free
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abstract

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 of the distance $x$ from the position of the potential. This expression depends on the amplitude of the potential as well as the scale of non-locality $\ell$; for distances $x\gg\ell$ the non-local and local results agree, whereas for distances $x < \ell$ there is a difference.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Ghost-free modification of the Polyakov action and Hawking radiation

    hep-th 2019-09 conditional novelty 6.0 of 10

    For a ghost-free modification of the Polyakov action on a fixed 2D black hole background, the Hawking flux at infinity is unchanged; only diagonal stress-energy components and entropy get non-local corrections.

  2. What happens to topological invariants (and black holes) in singularity-free theories?

    gr-qc 2024-11 conditional novelty 4.0 of 10

    Regularizing point-source singularities makes flat-space topological charges radius-dependent; in general relativity the same idea gives a cut-out Reissner-Nordström geometry with finite low-order curvature invariants.

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