Bounding irrelevant operators in the 3d Gross-Neveu-Yukawa CFTs
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arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2024
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| _version_ | 1866909227156504576 |
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| author | Mitchell, Matthew S. Poland, David |
| author_facet | Mitchell, Matthew S. Poland, David |
| contents | We perform a numerical bootstrap study of scalar operators in the critical 3d Gross-Neveu-Yukawa models, a family of conformal field theories containing N Majorana fermions in the fundamental representation of an O(N) global symmetry. We compute rigorous bounds on the scaling dimensions of the next-to-lowest parity-even and parity-odd singlet scalars at N = 2, 4, and 8. All of these dimensions have lower bounds greater than 3, implying that there are only two relevant singlet scalars and placing constraints on the RG flow structure of these theories. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2406_12974 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Bounding irrelevant operators in the 3d Gross-Neveu-Yukawa CFTs Mitchell, Matthew S. Poland, David High Energy Physics - Theory Statistical Mechanics Strongly Correlated Electrons High Energy Physics - Lattice We perform a numerical bootstrap study of scalar operators in the critical 3d Gross-Neveu-Yukawa models, a family of conformal field theories containing N Majorana fermions in the fundamental representation of an O(N) global symmetry. We compute rigorous bounds on the scaling dimensions of the next-to-lowest parity-even and parity-odd singlet scalars at N = 2, 4, and 8. All of these dimensions have lower bounds greater than 3, implying that there are only two relevant singlet scalars and placing constraints on the RG flow structure of these theories. |
| title | Bounding irrelevant operators in the 3d Gross-Neveu-Yukawa CFTs |
| topic | High Energy Physics - Theory Statistical Mechanics Strongly Correlated Electrons High Energy Physics - Lattice |
| url | https://arxiv.org/abs/2406.12974 |