Four-point function of the complex Sachdev-Ye-Kitaev model at finite chemical potential
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arXiv
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| Auteurs principaux: | , , , |
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| Format: | Preprint |
| Publié: |
2026
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| _version_ | 1866912809546153984 |
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| author | Akyuz, Can Onur Cruz, Erick Arguello Fraser-Taliente, Ludo Tarnopolsky, Grigory |
| author_facet | Akyuz, Can Onur Cruz, Erick Arguello Fraser-Taliente, Ludo Tarnopolsky, Grigory |
| contents | It is known that, for a range of chemical potentials, the infrared behavior of the complex Sachdev-Ye-Kitaev (cSYK) model is governed by a 1D Nearly Conformal Field Theory (NCFT$_{1}$), thereby realizing a continuous line of NCFTs. A finite chemical potential $μ$ introduces an asymmetry parameter $\mathscr{E}$ into the cSYK fermion two-point function in the conformal limit. In this work, we compute the cSYK four-point function in the conformal limit for an arbitrary value of $\mathscr{E}$ at leading order in $1/N$. We show that the result is fully consistent with the NCFT$_{1}$ structure of the cSYK model and use it to extract the structure constants for correlation functions of two complex fermions with bilinear operators. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2601_04330 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Four-point function of the complex Sachdev-Ye-Kitaev model at finite chemical potential Akyuz, Can Onur Cruz, Erick Arguello Fraser-Taliente, Ludo Tarnopolsky, Grigory High Energy Physics - Theory Strongly Correlated Electrons It is known that, for a range of chemical potentials, the infrared behavior of the complex Sachdev-Ye-Kitaev (cSYK) model is governed by a 1D Nearly Conformal Field Theory (NCFT$_{1}$), thereby realizing a continuous line of NCFTs. A finite chemical potential $μ$ introduces an asymmetry parameter $\mathscr{E}$ into the cSYK fermion two-point function in the conformal limit. In this work, we compute the cSYK four-point function in the conformal limit for an arbitrary value of $\mathscr{E}$ at leading order in $1/N$. We show that the result is fully consistent with the NCFT$_{1}$ structure of the cSYK model and use it to extract the structure constants for correlation functions of two complex fermions with bilinear operators. |
| title | Four-point function of the complex Sachdev-Ye-Kitaev model at finite chemical potential |
| topic | High Energy Physics - Theory Strongly Correlated Electrons |
| url | https://arxiv.org/abs/2601.04330 |