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Abstract <p>In the <InlineEquation ID="IEq1"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="11496_2025_8988_Article_IEq1.gif" Format="GIF" Height="19" Rendition="HTML" Resolution="72" Type="Linedraw" Width="54" /> </InlineMediaObject> <EquationSource Format="TEX">\({\text{SU}}({{N}_{c}})\)</EquationSource> <!--PhysPart2470145Bednyakov-m1--> </InlineEquation> gauge theory with <InlineEquation ID="IEq2"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="11496_2025_8988_Article_IEq2.gif" Format="GIF" Height="19" Rendition="HTML" Resolution="72" Type="Linedraw" Width="23" /> </InlineMediaObject> <EquationSource Format="TEX">\({{N}_{f}}\)</EquationSource> <!--PhysPart2470145Bednyakov-m2--> </InlineEquation> color quarks and <InlineEquation ID="IEq3"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="11496_2025_8988_Article_IEq3.gif" Format="GIF" Height="23" Rendition="HTML" Resolution="72" Type="Linedraw" Width="23" /> </InlineMediaObject> <EquationSource Format="TEX">\(N_{f}^{2}\)</EquationSource> <!--PhysPart2470145Bednyakov-m3--> </InlineEquation> colorless complex scalars, an expression for the nontrivial ultraviolet fixed point is obtained as an expansion in the Veneziano parameter up to the third order. The fixed point has a one-dimensional UV critical surface and perturbatively implements the asymptotic safety scenario. The conformal window and the spectrum of anomalous dimensions of different operators are discussed. Proceedings of the Scientific session of the Nuclear Physics Section of the Physical Sciences Division of the Russian Academy of Sciences, April 1–5, 2024.</p>

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On Asymptotic Safety in the Litim–Sannino Model

  • 期刊论文

  • 发表日期：

    2025年4月1日

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  • A. V. Bednyakov,
  • A. I. Mukhaeva

摘要

Abstract

In the \({\text{SU}}({{N}_{c}})\) gauge theory with \({{N}_{f}}\) color quarks and \(N_{f}^{2}\) colorless complex scalars, an expression for the nontrivial ultraviolet fixed point is obtained as an expansion in the Veneziano parameter up to the third order. The fixed point has a one-dimensional UV critical surface and perturbatively implements the asymptotic safety scenario. The conformal window and the spectrum of anomalous dimensions of different operators are discussed. Proceedings of the Scientific session of the Nuclear Physics Section of the Physical Sciences Division of the Russian Academy of Sciences, April 1–5, 2024.