Renormalization group flow of $O(N)^3$-invariant general sextic tensor model
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arXiv
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| Autores principales: | , , , |
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| Formato: | Preprint |
| Publicado: |
2026
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| _version_ | 1866911464088928256 |
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| author | Bardy, Gaetan Krajewski, Thomas Muller, Thomas Tanasa, Adrian |
| author_facet | Bardy, Gaetan Krajewski, Thomas Muller, Thomas Tanasa, Adrian |
| contents | We compute the beta functions for the $O(N)^3$-invariant general sextic tensor model up to cubic order in the coupling constant, and at leading order in the $1/N$ expansion. Our method is a direct, explicit one, in the sense that we identify the appropriate Feynman graphs, we compute their amplitudes which then allows us to obtain the $β$ functions of the model. We perform these computation considering both a long-range and a short-range propagator, within the dimensional regularization framework. We find three fixed points in the short-range case and a line of fixed points, parameterized by the wheel interaction, in the long-range case. This line of fixed points is identical to the one found in the case of the $U(N)^3$-invariant model. Our result proves that the additional $O(N)^3$-invariant interactions do not modify the long-range fixed point structure of the model. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2602_17422 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Renormalization group flow of $O(N)^3$-invariant general sextic tensor model Bardy, Gaetan Krajewski, Thomas Muller, Thomas Tanasa, Adrian High Energy Physics - Theory We compute the beta functions for the $O(N)^3$-invariant general sextic tensor model up to cubic order in the coupling constant, and at leading order in the $1/N$ expansion. Our method is a direct, explicit one, in the sense that we identify the appropriate Feynman graphs, we compute their amplitudes which then allows us to obtain the $β$ functions of the model. We perform these computation considering both a long-range and a short-range propagator, within the dimensional regularization framework. We find three fixed points in the short-range case and a line of fixed points, parameterized by the wheel interaction, in the long-range case. This line of fixed points is identical to the one found in the case of the $U(N)^3$-invariant model. Our result proves that the additional $O(N)^3$-invariant interactions do not modify the long-range fixed point structure of the model. |
| title | Renormalization group flow of $O(N)^3$-invariant general sextic tensor model |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2602.17422 |