Emergent symmetries at criticality in multi field RFT/DP
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arXiv
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| Hauptverfasser: | , , |
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866911772093448192 |
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| author | Bartels, Jochen Contreras, Carlos Vacca, Gian Paolo |
| author_facet | Bartels, Jochen Contreras, Carlos Vacca, Gian Paolo |
| contents | We study multifield extensions of Reggeon Field Theory (also equivalent to Directed Percolation model) at criticality in the perturbative epsilon-expansion below the upper critical dimension Dc=4 at one loop, for the special case when all fields have the same scale (anomalous) dimensions. Analyzing all the fixed points of the renormalization group flow for N=2 flavors and some for N=3, we find scale invariant solutions which are characterized by specific emergent global symmetries of the interacting potential. We also study two infinite families as a function of N having Z_N and S_{N+1} symmetries. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2402_04007 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Emergent symmetries at criticality in multi field RFT/DP Bartels, Jochen Contreras, Carlos Vacca, Gian Paolo High Energy Physics - Theory We study multifield extensions of Reggeon Field Theory (also equivalent to Directed Percolation model) at criticality in the perturbative epsilon-expansion below the upper critical dimension Dc=4 at one loop, for the special case when all fields have the same scale (anomalous) dimensions. Analyzing all the fixed points of the renormalization group flow for N=2 flavors and some for N=3, we find scale invariant solutions which are characterized by specific emergent global symmetries of the interacting potential. We also study two infinite families as a function of N having Z_N and S_{N+1} symmetries. |
| title | Emergent symmetries at criticality in multi field RFT/DP |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2402.04007 |