Anomalous dimensions and critical exponents for the Gross-Neveu-Yukawa model at five loops
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| Format: | Preprint |
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2025
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| _version_ | 1866912511060606976 |
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| author | Gracey, J. A. Maier, A. Marquard, P. Schröder, Y. |
| author_facet | Gracey, J. A. Maier, A. Marquard, P. Schröder, Y. |
| contents | We renormalize the Gross-Neveu-Yukawa model with an $O(N)$ symmetry to $\mathcal{O}(ε^5)$ in $d=4-ε$ dimensions and determine the anomalous dimensions of the fermion and scalar fields, $β$-functions as well as the scalar field's mass operator. These are used to construct several $N$ dependent critical exponents relevant for quantum transitions in semi-metals and in particular those connected with graphene in three dimensions when $N=2$. Improved exponent estimates for scalar fermion transitions on a honeycomb lattice, when $N=1$, as well as for $N=5$ are also given to compare with results from other techniques such as the conformal bootstrap. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2507_22594 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Anomalous dimensions and critical exponents for the Gross-Neveu-Yukawa model at five loops Gracey, J. A. Maier, A. Marquard, P. Schröder, Y. High Energy Physics - Theory Strongly Correlated Electrons High Energy Physics - Phenomenology We renormalize the Gross-Neveu-Yukawa model with an $O(N)$ symmetry to $\mathcal{O}(ε^5)$ in $d=4-ε$ dimensions and determine the anomalous dimensions of the fermion and scalar fields, $β$-functions as well as the scalar field's mass operator. These are used to construct several $N$ dependent critical exponents relevant for quantum transitions in semi-metals and in particular those connected with graphene in three dimensions when $N=2$. Improved exponent estimates for scalar fermion transitions on a honeycomb lattice, when $N=1$, as well as for $N=5$ are also given to compare with results from other techniques such as the conformal bootstrap. |
| title | Anomalous dimensions and critical exponents for the Gross-Neveu-Yukawa model at five loops |
| topic | High Energy Physics - Theory Strongly Correlated Electrons High Energy Physics - Phenomenology |
| url | https://arxiv.org/abs/2507.22594 |