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<p>We compute the next-to-leading correction to the scaling dimension of large-charge operators in the 3<i>d</i> critical <i>O</i>(<i>N</i>) model in a double scaling limit in which both <i>N</i> and the operator charge <i>Q</i> are taken to be large. When <i>Q</i> ≫ <i>N</i> our result matches predictions from the conformal superfluid EFT and allows to extract next-to-leading order corrections to the EFT Wilsonian coefficients. At present, our result represents the most precise determination of large-charge operator scaling dimension in weakly-coupled CFTs.</p>

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NLO in the large charge sector of the critical O(N) model at large N

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  • 发表日期：

    2025年2月4日

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  • Nicola Andrea Dondi,
  • Giacomo Sberveglieri

摘要

We compute the next-to-leading correction to the scaling dimension of large-charge operators in the 3d critical O(N) model in a double scaling limit in which both N and the operator charge Q are taken to be large. When Q ≫ N our result matches predictions from the conformal superfluid EFT and allows to extract next-to-leading order corrections to the EFT Wilsonian coefficients. At present, our result represents the most precise determination of large-charge operator scaling dimension in weakly-coupled CFTs.