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null_results [2026/03/19 00:23]
Ludo Fraser-Taliente [subsec 1] The minimal models are hard to find. 		null_results [2026/03/19 00:24] (current)
Ludo Fraser-Taliente
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 One might want to find the unitary [[minimal models | minimal models]] $\mathcal{M}_{m+1,m}$ in a controlled fashion by considering the fixed point of the $\frac{1}{2}(\partial \phi)^2 + g \phi^{2(m-1)}$ QFT in a Wilson-Fisher-like perturbative expansion around $d=d_c -\epsilon$, where $d_c = 2(m-1)/(m-2)$. One might want to find the unitary [[minimal models | minimal models]] $\mathcal{M}_{m+1,m}$ in a controlled fashion by considering the fixed point of the $\frac{1}{2}(\partial \phi)^2 + g \phi^{2(m-1)}$ QFT in a Wilson-Fisher-like perturbative expansion around $d=d_c -\epsilon$, where $d_c = 2(m-1)/(m-2)$.
 Unforunately, even in the large-$m$ limit, $d=2$ is too far away from $d_c$ to have perturbative control in $\epsilon$, as described in [[http://arxiv.org/abs/2509.26372 | section 2.4 of this paper]]. Unforunately, even in the large-$m$ limit, $d=2$ is too far away from $d_c$ to have perturbative control in $\epsilon$, as described in [[http://arxiv.org/abs/2509.26372 | section 2.4 of this paper]].
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Last modified: 2026/03/19 00:24
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