$κ$-deformed power spectrum and modified Unruh temperature
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arXiv
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| Format: | Preprint |
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2023
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| _version_ | 1866913402119520256 |
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| author | Rajagopal, Vishnu |
| author_facet | Rajagopal, Vishnu |
| contents | In this paper, we study the power spectrum of the uniformly accelerating scalar field, obeying the $κ$-deformed Klein-Gordon equation. From this we obtain the $κ$-deformed corrections to the Unruh temperature, valid up to first order in the $κ$-deformation parameter $a$. We also show that in the small acceleration limit, this expression for the Unruh temperature in $κ$-deformed space-time is in exact agreement with the one derived from the $κ$-deformed uncertainty relation. Finally, we obtain an upper bound on the deformation parameter $a$. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2306_04224 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | $κ$-deformed power spectrum and modified Unruh temperature Rajagopal, Vishnu High Energy Physics - Theory In this paper, we study the power spectrum of the uniformly accelerating scalar field, obeying the $κ$-deformed Klein-Gordon equation. From this we obtain the $κ$-deformed corrections to the Unruh temperature, valid up to first order in the $κ$-deformation parameter $a$. We also show that in the small acceleration limit, this expression for the Unruh temperature in $κ$-deformed space-time is in exact agreement with the one derived from the $κ$-deformed uncertainty relation. Finally, we obtain an upper bound on the deformation parameter $a$. |
| title | $κ$-deformed power spectrum and modified Unruh temperature |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2306.04224 |