Anomalous dimensions for $ϕ^n$ in scale invariant $d=3$ theory
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arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2020
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| _version_ | 1866915316135624704 |
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| author | Jack, I. Jones, D. R. T. |
| author_facet | Jack, I. Jones, D. R. T. |
| contents | Recently it was shown that the scaling dimension of the operator $ϕ^n$ in scale-invariant $d=3$ theory may be computed semiclassically, and this was verified to leading order (two loops) in perturbation theory at leading and subleading $n$. Here we extend this verification to six loops, once again at leading and subleading $n$. We then perform a similar exercise for a theory with a multiplet of real scalars and an $O(N)$ invariant hexic interaction. We also investigate the strong-coupling regime for this example. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2007_07190 |
| institution | arXiv |
| publishDate | 2020 |
| record_format | arxiv |
| spellingShingle | Anomalous dimensions for $ϕ^n$ in scale invariant $d=3$ theory Jack, I. Jones, D. R. T. High Energy Physics - Theory Recently it was shown that the scaling dimension of the operator $ϕ^n$ in scale-invariant $d=3$ theory may be computed semiclassically, and this was verified to leading order (two loops) in perturbation theory at leading and subleading $n$. Here we extend this verification to six loops, once again at leading and subleading $n$. We then perform a similar exercise for a theory with a multiplet of real scalars and an $O(N)$ invariant hexic interaction. We also investigate the strong-coupling regime for this example. |
| title | Anomalous dimensions for $ϕ^n$ in scale invariant $d=3$ theory |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2007.07190 |