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Two Dimensional Renormalization Group Flows in Next to Leading Order
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abstract
Zamolodchikov's famous analysis of the RG trajectory connecting successive minimal CFT models $M_p$ and $M_{p-1}$ for $p\gg 1$, is improved by including second order in coupling constant corrections. This allows to compute IR quantities with next to leading order accuracy of the $1/p$ expansion. We compute in particular, the beta function and the anomalous dimensions for certain classes of fields. As a result we are able to identify with a greater accuracy the IR limit of these fields with certain linear combination of the IR theory $M_{p-1}$. We discuss the relation of these results with Gaotto's recent RG domain wall proposal.
Forward citations
Cited by 3 Pith papers
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The d→2 Wilson-Fisher limit is proposed to be strictly larger than the 2d Ising CFT, which emerges as a unitary subsector after negative-multiplicity operators cancel exactly.
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Selection rules for RG flows of minimal models
A constructive enumeration of all local minimal-model CFTs, organized by Jones index, yields selection rules for RG flows that recover known results and predict new ones.
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