The Huang-Yang conjecture for the low-density Fermi gas
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arXiv
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| Main Authors: | , , , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866918037261647872 |
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| author | Giacomelli, Emanuela L. Hainzl, Christian Nam, Phan Thành Seiringer, Robert |
| author_facet | Giacomelli, Emanuela L. Hainzl, Christian Nam, Phan Thành Seiringer, Robert |
| contents | Our work establishes a three-term asymptotic expansion of the ground state energy of a dilute gas of spin $1/2$ fermions with repulsive short-range interactions, validating a formula predicted by Huang and Yang in 1957. The formula is universal in the sense that it holds for a large class of interaction potentials and depends on those only via their scattering length. We have recently proved an upper bound on the ground state energy of the desired form, and the present work completes the program by proving the matching lower bound. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2505_22340 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | The Huang-Yang conjecture for the low-density Fermi gas Giacomelli, Emanuela L. Hainzl, Christian Nam, Phan Thành Seiringer, Robert Mathematical Physics Our work establishes a three-term asymptotic expansion of the ground state energy of a dilute gas of spin $1/2$ fermions with repulsive short-range interactions, validating a formula predicted by Huang and Yang in 1957. The formula is universal in the sense that it holds for a large class of interaction potentials and depends on those only via their scattering length. We have recently proved an upper bound on the ground state energy of the desired form, and the present work completes the program by proving the matching lower bound. |
| title | The Huang-Yang conjecture for the low-density Fermi gas |
| topic | Mathematical Physics |
| url | https://arxiv.org/abs/2505.22340 |