ER=EPR and Strange Metals from Quantum Entanglement: Disorder theory vs quantum gravity
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arXiv
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| Format: | Preprint |
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2025
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| _version_ | 1866915432995225600 |
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| author | Sin, Sang-Jin Wang, Yi-Li |
| author_facet | Sin, Sang-Jin Wang, Yi-Li |
| contents | We give an understanding how strange metals arise from the spatially random Yukawa-SYK model based on the wormhole picture and find a parallelism between the disorder theory and quantum gravity. We start from the observation that the Gaussian average over the spatial random coupling gives a wormhole, defined as a mechanism for long range interaction without causal suppression outside the lightcone. We find that the large-$N$ limit equivalence of the quenched and annealed averages provides a field theory version of the ER=EPR. Since the wormhole establishes momentum exchanges over arbitrary distance without causal suppression, it provides a mechanism of the planckian dissipation. It also tells us why SYK-like models describe strongly interacting systems even in the small coupling case. We classify the disorder samples into two classes: I) spatially random coupling with wormholes and no information loss, II) spatially uniform coupling with decoherence. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2503_19431 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | ER=EPR and Strange Metals from Quantum Entanglement: Disorder theory vs quantum gravity Sin, Sang-Jin Wang, Yi-Li High Energy Physics - Theory Strongly Correlated Electrons We give an understanding how strange metals arise from the spatially random Yukawa-SYK model based on the wormhole picture and find a parallelism between the disorder theory and quantum gravity. We start from the observation that the Gaussian average over the spatial random coupling gives a wormhole, defined as a mechanism for long range interaction without causal suppression outside the lightcone. We find that the large-$N$ limit equivalence of the quenched and annealed averages provides a field theory version of the ER=EPR. Since the wormhole establishes momentum exchanges over arbitrary distance without causal suppression, it provides a mechanism of the planckian dissipation. It also tells us why SYK-like models describe strongly interacting systems even in the small coupling case. We classify the disorder samples into two classes: I) spatially random coupling with wormholes and no information loss, II) spatially uniform coupling with decoherence. |
| title | ER=EPR and Strange Metals from Quantum Entanglement: Disorder theory vs quantum gravity |
| topic | High Energy Physics - Theory Strongly Correlated Electrons |
| url | https://arxiv.org/abs/2503.19431 |