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Quantum Scattering on a Cone revisited

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arxiv 1706.05318 v1 pith:GIABIQH6 submitted 2017-06-16 gr-qc hep-th

classification gr-qchep-th
keywords boundaryscatteringamplitudeconditionconepurelyquantumaddition
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abstract

We revisit the scattering of quantum test particles on the conical $(2+1)$-dimensional spacetime and find the scatteting amplitude as a function of the boundary conditions imposed at the appex of the cone. We show that the boundary condition is responsible for a purely analytical term in the scattering amplitude, in addition to those coming from purely topological effects. Since it is possible to have non-equivalent physical evolutions for the wave packet (each one corresponding to a different boundary condition), it seems crucial to have an observable quantity specifying which evolution has been prescribed.

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

  1. Vacuum fluctuations and the renormalized stress-energy tensor on a cone with arbitrary boundary conditions

    hep-th 2025-09 conditional novelty 6.0 of 10

    A massive scalar on a cone has a stable bound state when M>q, and the paper calculates the renormalized vacuum fluctuations and stress-energy tensor including this bound state.

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