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Higgs phonon: conformal phonon and Hawking temperature in a two-dimensional acoustic black hole model

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Abstract

The present study investigates the coupling of the hyperbolic potential and conformal Liouville potential to the phonon field in two-dimensional gravity. The specific values of the horizon coordinate, Hawking temperature, phonon mass, and fluid velocity were calculated, and the change in physical quantities with the field coefficient \(\delta\) and central charge c was discussed. In the hyperbolic potential model, it was found that the phonon was very similar to the Higgs particle. The size of the horizon was 10 µm, the magnitude of the Hawking temperature was 1 nK, the magnitude of the fluid velocity was 1 mm/s, and the magnitude of the Higgs phonon mass was between 10–8 eV and 10–7 eV. In the conformal Liouville model, it was found that the variation trend of each physical quantity in the different branches was opposite, the size of the horizon was 10 µm, the magnitude of the Hawking temperature was between 0.1 and 1.0 nK, the magnitude of the fluid velocity was 1 mm/s, and the magnitude of the conformal phonon mass was 10–7 eV. The calculation results of the present study were basically consistent with the results obtained by Barcelo and Steinhauer et al., but completely different physical models and new calculation methods were used.

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Acknowledgements

The author thanks the referee for a careful reading of the manuscript and the valuable suggestions,

Funding

This work was supported by Natural Science Foundation of Sichuan Education Committee under Grant No. 11ZA100.

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  1. Department of Physics, Sichuan Normal University, Chengdu, 610066, China

    Jun Yan

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Yan, J. Higgs phonon: conformal phonon and Hawking temperature in a two-dimensional acoustic black hole model. Gen Relativ Gravit 55, 85 (2023). https://doi.org/10.1007/s10714-023-03133-4

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