Quantum-Corrected Holographic Wilson Loop Expectation Values and Super-Yang-Mills Confinement
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arXiv
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| Autori principali: | , , , |
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| Natura: | Preprint |
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2024
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| _version_ | 1866908319590907904 |
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| author | Liu, Xiao-Long Yue, Cong-Yuan Nian, Jun Zheng, Wenni |
| author_facet | Liu, Xiao-Long Yue, Cong-Yuan Nian, Jun Zheng, Wenni |
| contents | Confinement is a well-known phenomenon in the infrared regime of (supersymmetric) Yang-Mills theory. While both experimental observations and numerical simulations have robustly confirmed its existence, the underlying physical mechanism remains elusive. Unraveling the theoretical origin of confinement continues to be a profound and longstanding challenge in both physics and mathematics. Motivated by recent advances in quantum Jackiw-Teitelboim gravity, we investigate the Wilson loop expectation values in the large-$N$ limit of $\mathscr{N}=4$ super-Yang-Mills theory at finite chemical potential, employing a holographic approach within the background of an extremal AdS$_5$ Reissner-Nordström black brane. Our results reveal that quantum gravitational fluctuations in the near-horizon region significantly modify the holographic Wilson loop expectation values. These values exhibit an area-law behavior, indicative of a confining quark-antiquark potential. Within this framework, our findings suggest that confinement in the super-Yang-Mills theory arises as a consequence of near-horizon quantum gravity fluctuations in the bulk extremal AdS$_5$ black brane geometry. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_11107 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Quantum-Corrected Holographic Wilson Loop Expectation Values and Super-Yang-Mills Confinement Liu, Xiao-Long Yue, Cong-Yuan Nian, Jun Zheng, Wenni High Energy Physics - Theory General Relativity and Quantum Cosmology High Energy Physics - Phenomenology Mathematical Physics Nuclear Theory Confinement is a well-known phenomenon in the infrared regime of (supersymmetric) Yang-Mills theory. While both experimental observations and numerical simulations have robustly confirmed its existence, the underlying physical mechanism remains elusive. Unraveling the theoretical origin of confinement continues to be a profound and longstanding challenge in both physics and mathematics. Motivated by recent advances in quantum Jackiw-Teitelboim gravity, we investigate the Wilson loop expectation values in the large-$N$ limit of $\mathscr{N}=4$ super-Yang-Mills theory at finite chemical potential, employing a holographic approach within the background of an extremal AdS$_5$ Reissner-Nordström black brane. Our results reveal that quantum gravitational fluctuations in the near-horizon region significantly modify the holographic Wilson loop expectation values. These values exhibit an area-law behavior, indicative of a confining quark-antiquark potential. Within this framework, our findings suggest that confinement in the super-Yang-Mills theory arises as a consequence of near-horizon quantum gravity fluctuations in the bulk extremal AdS$_5$ black brane geometry. |
| title | Quantum-Corrected Holographic Wilson Loop Expectation Values and Super-Yang-Mills Confinement |
| topic | High Energy Physics - Theory General Relativity and Quantum Cosmology High Energy Physics - Phenomenology Mathematical Physics Nuclear Theory |
| url | https://arxiv.org/abs/2412.11107 |