Momentum-Resolved Probing of Lorentz-Violating Dispersion Relations via Unruh-DeWitt Detector
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arXiv
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| Format: | Preprint |
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2025
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| _version_ | 1866911071493685248 |
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| author | Xu, Hao |
| author_facet | Xu, Hao |
| contents | Inspired by quantum gravity frameworks predicting Planck-scale deviations from Lorentz invariance, we probe Lorentz symmetry violation via modified dispersion relations $ω_{|\textbf{k}|}$. Departing from conventional approaches, we employ an Unruh-DeWitt detector to probe energy-dependent modifications to the dispersion relations. Two key methodological advances are introduced: (i) a generalized formulation for detector acceleration without assuming specific dispersion relations, and (ii) a momentum-resolved detection paradigm enabling spectral decomposition of $ω_{|\textbf{k}|}$ through localized momentum-shell integration. Analysis of deviations reveals disruption of the thermal spectrum under significant departures from the Lorentz invariance, while small perturbative regimes manifest as phase-modulated thermal distributions. By restricting detector-field interactions to narrow spectral windows and performing iterative Taylor expansions around reference momenta $|\textbf{k}_0|$, we derive coefficients encoding derivatives of $ω_{|\textbf{k}|}$, reconstructing its global profile via momentum-space tomography. Our approach offers a scalable method to test Lorentz symmetry violation across energy scales, and establishes a foundation for experimental verification of Planck-scale relics through high-precision spectral measurements. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2503_17757 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Momentum-Resolved Probing of Lorentz-Violating Dispersion Relations via Unruh-DeWitt Detector Xu, Hao General Relativity and Quantum Cosmology High Energy Physics - Theory Quantum Physics Inspired by quantum gravity frameworks predicting Planck-scale deviations from Lorentz invariance, we probe Lorentz symmetry violation via modified dispersion relations $ω_{|\textbf{k}|}$. Departing from conventional approaches, we employ an Unruh-DeWitt detector to probe energy-dependent modifications to the dispersion relations. Two key methodological advances are introduced: (i) a generalized formulation for detector acceleration without assuming specific dispersion relations, and (ii) a momentum-resolved detection paradigm enabling spectral decomposition of $ω_{|\textbf{k}|}$ through localized momentum-shell integration. Analysis of deviations reveals disruption of the thermal spectrum under significant departures from the Lorentz invariance, while small perturbative regimes manifest as phase-modulated thermal distributions. By restricting detector-field interactions to narrow spectral windows and performing iterative Taylor expansions around reference momenta $|\textbf{k}_0|$, we derive coefficients encoding derivatives of $ω_{|\textbf{k}|}$, reconstructing its global profile via momentum-space tomography. Our approach offers a scalable method to test Lorentz symmetry violation across energy scales, and establishes a foundation for experimental verification of Planck-scale relics through high-precision spectral measurements. |
| title | Momentum-Resolved Probing of Lorentz-Violating Dispersion Relations via Unruh-DeWitt Detector |
| topic | General Relativity and Quantum Cosmology High Energy Physics - Theory Quantum Physics |
| url | https://arxiv.org/abs/2503.17757 |