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| Autori principali: | , , , |
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| Natura: | Preprint |
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2025
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| Accesso online: | https://arxiv.org/abs/2504.05988 |
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| _version_ | 1866915233536147456 |
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| author | Antipin, Oleg Pinoy, Alan Sannino, Francesco Vatani, Shahram |
| author_facet | Antipin, Oleg Pinoy, Alan Sannino, Francesco Vatani, Shahram |
| contents | We gain insight on the fixed point dynamics of $d$ dimensional quantum field theories by exploiting the critical behavior of the $d-ε$ sister theories. To this end we first derive a self-consistent relation between the $d-ε$ scaling exponents and the associated $d$ dimensional beta functions. We then demonstrate that to account for an interacting fixed point in the original theory the related $d-ε$ scaling exponent must be multi-valued in $ε$. We elucidate our findings by discussing several examples such as the QCD Banks-Zaks infrared fixed point, QCD at large number of flavors, as well as the O(N) model in four dimensions. For the latter, we show that although the $1/N$ corrections prevent the reconstruction of the renormalization group flow, this is possible when adding the $1/N^2$ contributions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_05988 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Consistency Relation for Fixed Point Dynamics Antipin, Oleg Pinoy, Alan Sannino, Francesco Vatani, Shahram High Energy Physics - Phenomenology High Energy Physics - Theory We gain insight on the fixed point dynamics of $d$ dimensional quantum field theories by exploiting the critical behavior of the $d-ε$ sister theories. To this end we first derive a self-consistent relation between the $d-ε$ scaling exponents and the associated $d$ dimensional beta functions. We then demonstrate that to account for an interacting fixed point in the original theory the related $d-ε$ scaling exponent must be multi-valued in $ε$. We elucidate our findings by discussing several examples such as the QCD Banks-Zaks infrared fixed point, QCD at large number of flavors, as well as the O(N) model in four dimensions. For the latter, we show that although the $1/N$ corrections prevent the reconstruction of the renormalization group flow, this is possible when adding the $1/N^2$ contributions. |
| title | Consistency Relation for Fixed Point Dynamics |
| topic | High Energy Physics - Phenomenology High Energy Physics - Theory |
| url | https://arxiv.org/abs/2504.05988 |