On pole-skipping with gauge-invariant variables in holographic axion theories
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arXiv
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| Auteurs principaux: | , , , , , |
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866914826426515456 |
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| author | Ahn, Yongjun Jahnke, Viktor Jeong, Hyun-Sik Ji, Chang-Woo Kim, Keun-Young Nishida, Mitsuhiro |
| author_facet | Ahn, Yongjun Jahnke, Viktor Jeong, Hyun-Sik Ji, Chang-Woo Kim, Keun-Young Nishida, Mitsuhiro |
| contents | We study the pole-skipping phenomenon within holographic axion theories, a common framework for studying strongly coupled systems with chemical potential ($μ$) and momentum relaxation ($β$). Considering the backreaction characterized by $μ$ and $β$, we encounter coupled equations of motion for the metric, gauge, and axion field, which are classified into spin-0, spin-1, and spin-2 channels. Employing gauge-invariant variables, we systematically address these equations and explore pole-skipping points within each sector using the near-horizon method. Our analysis reveals two classes of pole-skipping points: regular and singular pole-skipping points in which the latter is identified when standard linear differential equations exhibit singularity. Notably, pole-skipping points in the lower-half plane are regular, while those elsewhere are singular. This suggests that the pole-skipping point in the spin-0 channel, associated with quantum chaos, corresponds to a singular pole-skipping point. Additionally, we observe that the pole-skipping momentum, if purely real or imaginary for $μ=β=0$, retains this characteristic for $μ\neq0$ and $β\neq 0$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2402_12951 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On pole-skipping with gauge-invariant variables in holographic axion theories Ahn, Yongjun Jahnke, Viktor Jeong, Hyun-Sik Ji, Chang-Woo Kim, Keun-Young Nishida, Mitsuhiro High Energy Physics - Theory We study the pole-skipping phenomenon within holographic axion theories, a common framework for studying strongly coupled systems with chemical potential ($μ$) and momentum relaxation ($β$). Considering the backreaction characterized by $μ$ and $β$, we encounter coupled equations of motion for the metric, gauge, and axion field, which are classified into spin-0, spin-1, and spin-2 channels. Employing gauge-invariant variables, we systematically address these equations and explore pole-skipping points within each sector using the near-horizon method. Our analysis reveals two classes of pole-skipping points: regular and singular pole-skipping points in which the latter is identified when standard linear differential equations exhibit singularity. Notably, pole-skipping points in the lower-half plane are regular, while those elsewhere are singular. This suggests that the pole-skipping point in the spin-0 channel, associated with quantum chaos, corresponds to a singular pole-skipping point. Additionally, we observe that the pole-skipping momentum, if purely real or imaginary for $μ=β=0$, retains this characteristic for $μ\neq0$ and $β\neq 0$. |
| title | On pole-skipping with gauge-invariant variables in holographic axion theories |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2402.12951 |