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<p>We study five-point correlators of the <i>σ</i>, <i>ϵ</i>, and <i>ϵ</i><sup>′</sup> operators in the critical 3d Ising model. We consider the <i>σ</i> × <i>σ</i> and <i>σ</i> × <i>ϵ</i> operator product expansions (OPEs) and truncate them by including a finite set of exchanged operators. We approximate the truncated operators by the corresponding contributions in appropriate disconnected five-point correlators. We compute a number of OPE coefficients that were previously unknown and show that these are consistent with predictions obtained using the fuzzy sphere regularization of the critical 3d Ising model.</p>

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Mixed five-point correlators in the 3d Ising model

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2025年10月29日

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  • David Poland,
  • Valentina Prilepina,
  • Petar Tadić

摘要

We study five-point correlators of the σ, ϵ, and ϵ′ operators in the critical 3d Ising model. We consider the σ × σ and σ × ϵ operator product expansions (OPEs) and truncate them by including a finite set of exchanged operators. We approximate the truncated operators by the corresponding contributions in appropriate disconnected five-point correlators. We compute a number of OPE coefficients that were previously unknown and show that these are consistent with predictions obtained using the fuzzy sphere regularization of the critical 3d Ising model.