The $O(N)$ Free-Scalar and Wilson-Fisher Conformal Field Theories on the Fuzzy Sphere
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| Main Authors: | , , , |
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| Format: | Preprint |
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2025
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| _version_ | 1866909939793920000 |
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| author | Guo, Wenhan Zhou, Zheng Wei, Tzu-Chieh He, Yin-Chen |
| author_facet | Guo, Wenhan Zhou, Zheng Wei, Tzu-Chieh He, Yin-Chen |
| contents | The fuzzy-sphere regularization is an emerging numerical and theoretical technique for studying conformal field theories (CFTs). In this paper, we apply it to the $O(N)$ vector model, one of the most prominent theories for critical behavior in three space-time dimensions. We construct a model that realizes the $O(N)$ Wilson-Fisher and free-scalar CFTs for general $N$. For $N=2,3,4$, we present numerical evidence including the operator spectra and correlation functions in agreement with conformal symmetry and conformal bootstrap results. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_02234 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | The $O(N)$ Free-Scalar and Wilson-Fisher Conformal Field Theories on the Fuzzy Sphere Guo, Wenhan Zhou, Zheng Wei, Tzu-Chieh He, Yin-Chen Strongly Correlated Electrons Statistical Mechanics High Energy Physics - Theory The fuzzy-sphere regularization is an emerging numerical and theoretical technique for studying conformal field theories (CFTs). In this paper, we apply it to the $O(N)$ vector model, one of the most prominent theories for critical behavior in three space-time dimensions. We construct a model that realizes the $O(N)$ Wilson-Fisher and free-scalar CFTs for general $N$. For $N=2,3,4$, we present numerical evidence including the operator spectra and correlation functions in agreement with conformal symmetry and conformal bootstrap results. |
| title | The $O(N)$ Free-Scalar and Wilson-Fisher Conformal Field Theories on the Fuzzy Sphere |
| topic | Strongly Correlated Electrons Statistical Mechanics High Energy Physics - Theory |
| url | https://arxiv.org/abs/2512.02234 |