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Thermal effects on a global monopole with Robin boundary conditions

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arxiv 2108.12236 v1 pith:F2EC2I57 submitted 2021-08-27 hep-th gr-qc

Lissa de Souza Campos , João Paulo M. Pitelli This is my paper · ORCID
classification hep-thgr-qc
keywords boundarythermalconditionssingularitybehaviordensitydetectoreffects
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Within quantum field theory on a global monopole spacetime, we study thermal effects on a naked singularity and its relation with boundary conditions. We first obtain the two-points functions for the ground state and for thermal states of a massive, arbitrarily-coupled, free scalar field compatible with Robin boundary conditions at the singularity. We then probe these states using a static Unruh-Dewitt particle detector. The transition rate is analyzed for the particular cases of massless minimally or conformally coupled fields at finite temperature. To interpret the detector's behavior, we compute the thermal contribution to the ground-state fluctuations and to the energy density. We verify that the behavior of the transition rate, the fluctuations and the energy density are closely intertwined. In addition, we find that these renormalized quantities remain finite at the singularity for, and only for, Dirichlet boundary condition.

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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. Corrections to the Unruh Effect from Robin Boundary Conditions in Punctured Minkowski Spacetime

    hep-th 2026-08 accept novelty 6.0 of 10

    The boundary-induced correction to the accelerated-detector response in punctured Minkowski spacetime is computed exactly, proven absolutely integrable with an O(1) long-time limit for finite Robin parameter beta, and...

  2. Vacuum polarization in the Schwarzschild black hole with a global monopole

    gr-qc 2026-02 conditional novelty 6.0 of 10

    On the horizon of a Schwarzschild black hole with a global monopole, the renormalized vacuum polarization of a massless scalar splits, through O(η²), into the naked-monopole value at r_h plus Candelas' Schwarzschild v...

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