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High Energy Physics - Theory

arXiv:1805.01875 (hep-th)
[Submitted on 4 May 2018 (v1), last revised 23 Jun 2018 (this version, v2)]

Title:Quantum scattering on a delta potential in ghost-free theory

Authors:Jens Boos, Valeri P. Frolov, Andrei Zelnikov
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Abstract:We discuss the quantum-mechanical scattering of a massless scalar field on a $\delta$-potential in a ghost-free theory and obtain analytic solutions for the scattering coefficients. Due to the non-locality of the ghost-free theory the transmission coefficient tends to unity for frequencies much larger than the inverse scale of non-locality, even for infinitely strong potentials. At the same time there exists a critical strength of the $\delta$-potential barrier below which there is always a frequency that is totally reflected. These scattering properties in ghost-free theories are quite generic and distinguish them from local field theories. Moreover, we study quasi-normal states that are present for the $\delta$-potential well. In the limit of vanishing non-locality, we recover the standard results of local field theory.
Comments: v2: 7 pages, 2 figures, matches published version; v1: 6 pages, 2 figures
Subjects: High Energy Physics - Theory (hep-th); General Relativity and Quantum Cosmology (gr-qc); Quantum Physics (quant-ph)
Report number: Alberta-Thy-05-18
Cite as: arXiv:1805.01875 [hep-th]
  (or arXiv:1805.01875v2 [hep-th] for this version)
  https://doi.org/10.48550/arXiv.1805.01875
Journal reference: Phys. Lett. B 782 (2018) 688
Related DOI: https://doi.org/10.1016/j.physletb.2018.06.018

Submission history

From: Jens Boos [view email]
[v1] Fri, 4 May 2018 17:43:28 UTC (163 KB)
[v2] Sat, 23 Jun 2018 00:46:04 UTC (164 KB)
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